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How do you solve for exterior angle of a triangle theorem?
To solve for the exterior angle of a triangle, use the Exterior Angle Theorem, which states that the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles. To apply this, identify the exterior angle and the two corresponding interior angles. Simply add the measures of those two interior angles together to find the value of the exterior angle. For example, if the interior angles are 40° and 60°, the exterior angle would be 40° + 60° = 100°.
How many sides does the polygon have if its interior angle is 5940?
To find the number of sides ( n ) of a polygon given its interior angle, we use the formula for the interior angle of a regular polygon: [ \text{Interior angle} = \frac{(n-2) \times 180}{n} ] Setting this equal to 5940, we can rearrange and solve for ( n ). However, since 5940 is an unusually high angle, it suggests that the polygon is not regular or has been misinterpreted, as typical interior angles of polygons do not exceed 180 degrees. Thus, please check the angle value again, as standard polygons do not have an interior angle of 5940 degrees.
Which regular polygon the measure of the exterior angle is twice the measure of the interior angle?
In a regular polygon, the measure of the exterior angle is related to the interior angle by the equation: exterior angle = 180° - interior angle. If the exterior angle is twice the measure of the interior angle, we can set up the equation: exterior angle = 2 × interior angle. Solving this gives us the equation: 180° - interior angle = 2 × interior angle, leading to 180° = 3 × interior angle, or interior angle = 60°. This corresponds to a regular hexagon, as it has interior angles of 120° and exterior angles of 60°.
How can you solve real life problems that involve angle relationships in parallel lines and triangle?
To solve real-life problems involving angle relationships in parallel lines and triangles, first, identify the parallel lines and any transversal lines that create corresponding, alternate interior, or interior angles. Use the properties of these angles, such as the fact that corresponding angles are equal and alternate interior angles are equal. For triangles, apply the triangle sum theorem, which states that the sum of the interior angles is always 180 degrees. By setting up equations based on these relationships, you can solve for unknown angles and apply this information to the specific context of your problem.
What is the measure of a polygons interior angle?
It is: 180-exterior angle = interior angle
Find the measure of an interior angle?
An interior angle is an angle in the inside of two lines, and the two lines have a line through them. Look at the line through them. The opposite angles on each side of the line are equal. That should be enough info to solve your problem
How do you solve for the interior angle using only the exterior angle?
a circle is 360 degrees. so whatever exterior angle u have u can subtract it from 360 to see what the interior angle is!
What is the measure of a polygons interior angle?
It is: 180-exterior angle = interior angle
What is the intereor angle of a triangle?
An interior angle is any angle on the interior of the triangle.
Which of these is the alternate interior angle of angle hge?
GEF is the alternate interior angle of angle hge.
What is an exterior angle of a triangle and how does the measure of an exterior angle relate to the interior angles?
Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle
What is the exterior and interior angle of a heptagon?
the interior angle is about 128.571428 the exterior angle is about 51.4285
What is allied angle?
An allied angle is an angle that is found on an interior line. An interior angle is the angle where to lines come together.
Interior angle of and 18 sided shape?
Exterior angle + interior angle = 180 Hence Interior Angle = 180 - Exterior Angle The Exterior Angle = n(No. of sides ) / 360 Substituting Interior Angle = 180 - (n/360) Interior Angle = 180 - (18/360) Interior Angle = 180 - (1/20) Interior Angle = 179.95 degrees.
Is the vertex of the angle in the interior of the angle?
No. It forms the angle and so is neither in the interior nor the exterior.
How do you measure the interior angle of a polygon?
With a protractor or if you know the exterior angle then it's 180 - exterior angle = interior angle
What is the sum of an interior angle on a quadrilatral?
An interior angle is the inside angle of a shape e.g quadrilateral, square
