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The measure of an exterior angle of a triangle is120 degrees the interior angles that are not adjacent to this exterior angle are congruent find the measure of the interior angles of the triangle?
They are all 60 degrees.
Are remote interior angles of 1 Check all that apply.?
Remote interior angles are the angles that are not adjacent to a given exterior angle but are inside the triangle. For each exterior angle of a triangle, there are two remote interior angles. The sum of these remote interior angles is equal to the measure of the exterior angle. Thus, if you have a specific exterior angle, you can identify the two corresponding remote interior angles.
Can an acute triangle never have an acute exterior angle?
No, an acute triangle can have an acute exterior angle. An exterior angle is formed by extending one side of the triangle, and its measure is equal to the sum of the two opposite interior angles. Since all interior angles of an acute triangle are less than 90 degrees, the corresponding exterior angles can also be acute, depending on which side is extended.
What is the least number of angles an acute triangle can have?
All acute triangles have 3 interior angles and 3 exterior angles. This is true for all triangles.
What are the angles on the outside of triangles?
The Exterior angles are named as 'REFLEX' angles. At any one angular point, the sum of the Interior angle and the Exterior angle equals 360 degrees. There being three angles in a triangle, then the sum of all the angles is 3 x 360 = 1080 degrees. Since the sum of the three interior angles is 180 degrees., then the sum of the exterior (reflex) angles is 1080 - 180 = 900 degrees.
The measure of an exterior angle of a triangle is120 degrees the interior angles that are not adjacent to this exterior angle are congruent find the measure of the interior angles of the triangle?
They are all 60 degrees.
Can an acute triangle never have an acute exterior angle?
No, an acute triangle can have an acute exterior angle. An exterior angle is formed by extending one side of the triangle, and its measure is equal to the sum of the two opposite interior angles. Since all interior angles of an acute triangle are less than 90 degrees, the corresponding exterior angles can also be acute, depending on which side is extended.
What is the least number of angles an acute triangle can have?
All acute triangles have 3 interior angles and 3 exterior angles. This is true for all triangles.
What are the angles on the outside of triangles?
The Exterior angles are named as 'REFLEX' angles. At any one angular point, the sum of the Interior angle and the Exterior angle equals 360 degrees. There being three angles in a triangle, then the sum of all the angles is 3 x 360 = 1080 degrees. Since the sum of the three interior angles is 180 degrees., then the sum of the exterior (reflex) angles is 1080 - 180 = 900 degrees.
The sum of all the angles of a triangle?
The sum of all the interior angles of a triangle is 180 degrees while the sum of the exterior angles is 360. you can calculate for the measurements of the interior angles of a polygon by using the formula S=(n-2)(180) where n is the number of sides
Which is the sum of the measure of all angles of a triangle?
The 3 interior angles of any triangle add up to 180 degrees and the 3 exterior angles add up to 360 degrees
The sum of the measures of two interior angles of a triangle is 261 What is the measure of the third exterior angle?
That's not possible.Two interior angles of a triangle can't add up to 261°, because all three of the interior anglesin any triangle always add up to 180°.
What is the sum of all of the interior angles of a triangle?
The interior angles of a triangle all add up to 180 degrees.
Can an acute-angled triangle have an acute exterior angle?
No. An interior angle plus its exterior partner add up to 180 degrees. In order for an exterior angle to be acute, its interior partner would have to be obtuse, which doesn't happen in an acute triangle.
A figure has 3 sides What is the sum of its exterior angles?
360A triangle is a polygon with three sides and three angles. The sum of the interior angles of a polygon equals 180(n - 2), where n is the number of sides.180(3 - 2) = 180°Assuming all the angles in the triangle are congruent, find the measure of one interior angle.180° ÷ 3 = 60°If an interior angle equals 60°, then its corresponding exterior angle will equal 120° because the angles are supplementary (their sum is 180°).120° × 3 = 360°Therefore, the sum of the exterior angles of a triangle is 360°.study island
Are the exterior angles of a scalene triangle always obtuse?
No, they are not always obtuse, because a scalene triangle can also sometimes be an obtuse triangle (meaning that one interior angle is obtuse), making one exterior angle acute. Scalene triangles also can be a right triangles (meaning that one interior angle is a right angle), which would make an exterior angle a right angle. Then also they can be acute triangles, in this case all 3 exterior angles are obtuse.
Each interior angle if a regular polygon measurses 172 degrees how many sides does the polygon have?
The easiest way to solve this is to use the exterior angles of the polygon. The sum of an exterior angle and interior angle is 180o. Also the sum of all the exterior angles of a polygon is 360o. As the polygon is regular, all the interior angles are the same and all the exterior angles are the same. So, for an interior angle of 172o the exterior angle is 180-172 = 8o. The sum of all the exterior angles is 360o so how many 8o make up 360o? 360/8=45. Thus the polygon with interior angles of 172o has 45 sides.
