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What is the measure of the smaller of the two supplementary angles if the measure if the measure of one angle is one fourth the measure of the other angle?
The easiest way (for me) to solve this type of question is to put it into an equation in terms of x.Since one angle is 1/4 the size of the other, the two angles would be x and 1/4x, or 4x and x (I suggest using 4x and x).Since the angles are supplementary, their sum is 180 degrees.4x+x=1805x=180x=36 degrees
How do you Solve Angles in a triangle?
The 3 interior angles of any triangle add up to 180 degrees
If two angles of a right triangle each measures 54 degrees what is the measure of the third angle?
To solve this, use the fact that the sum of all three angles, in a triangle, is 180 degrees.
How do you solve the angles of an acute angle triangle?
By measuring them with a protractor will confirm that the 3 acute angles of a triangle add up to 180 degrees.
What is the sum in degrees of the interior angles of a 16 sided polygon?
To solve this class of problems, understand that a triangle has 180 degrees in the interior angles. A quadrilateral has 360. Add 180 degrees for each additional side. The equation is d = 180 * (n-2). For a 16 sided figure, d = 180 * 14 = 2520.Sum of interior angles = (2N - 4) right angles. Here it would be (2 x 16 - 4) right angles = 28 x 90 = 2520 degrees
What are two angles called whose sum is 180 degrees?
Two angles whose sum is 180 degrees are called supplementary angles. When two angles are supplementary, it means that the sum of their measures equals 180 degrees. This relationship is often used in geometry to solve for unknown angles or to identify complementary angles.
Find the supplementary angle of 148.7?
Supplementary angles add up to 180 degrees. So, if x is the supplementary angle to 148.7 degrees, solve for x: 148.7+x=180 x=180-148.7=31.3 degrees
How do you get the answer 116 to the problem an angle is 12 degrees less than twice its supplement find the angle?
Supplementary angles add up to 180 degrees You can solve for the supplementary angle first. You can solve for the other directly, but the math is a little more involved. Let A be an angle Start with the supplementary angle. A + ??? = 180 The angle you want is 12 less than twice as big A + (2A - 12) = 180 Solve for A: 3A - 12 = 180 3A = 192 A = 64 Remember A is the supplementary angle, so subtract the angle we solved for (A) from 180 to find the angle you want. 180 - 64 = 116
What is the measure of the smaller of the two supplementary angles if the measure if the measure of one angle is one fourth the measure of the other angle?
The easiest way (for me) to solve this type of question is to put it into an equation in terms of x.Since one angle is 1/4 the size of the other, the two angles would be x and 1/4x, or 4x and x (I suggest using 4x and x).Since the angles are supplementary, their sum is 180 degrees.4x+x=1805x=180x=36 degrees
How do you Solve Angles in a triangle?
The 3 interior angles of any triangle add up to 180 degrees
Which equation could be used to solve problems involving the relationships between the angles?
That depends on the specific situation. For example:* Adjacent angles add up to the larger, combined, angle. For instance, if you divide a straight line into two or more angles, the angles add up to 180 degrees. * The angles of a triangle also add up to 180 degrees.
If two angles of a right triangle each measures 54 degrees what is the measure of the third angle?
To solve this, use the fact that the sum of all three angles, in a triangle, is 180 degrees.
How do you solve the angles of an acute angle triangle?
By measuring them with a protractor will confirm that the 3 acute angles of a triangle add up to 180 degrees.
How do you solve two angles if one is 26 degrees and the other 80 degrees?
Simple: one is 26 deg and another is 80 deg. You cannot solve anything else because you do not even know what the shape is!
What are the measures of two complementary angles if the difference in the measures of the two angles is 12?
Complimentary angles add to 90 degrees. So, x + y = 90. Also, we know the difference is 12 degrees. So, x - y = 12. (Note that it really doesn't matter which angle corresponds to x and y. The way it is set up here is x is the larger angle.) Now solve the system: x + y = 90 x - y = 12 2x = 102 x = 51 y = 90 - 51 = 39 So the two angles are 51 degrees and 39 degrees.
What is the relationship between the angles in a triangle and how can the concept of2 angle be applied to solve geometric problems?
In a triangle, the sum of the three angles is always 180 degrees. This relationship can be used to solve geometric problems by finding the measure of one angle and then using the fact that the sum of all angles in a triangle is 180 degrees to find the measures of the other angles. This concept is helpful in solving various types of geometry problems involving triangles.
The obtuse angle of an isosceles triangle measures 120 degrees write and solve an equation to find the measure of the base angles?
Well if it has 180 degrees over all, and the two base angles have to be congruent, then the equation is 180-120=2x or each base angle is 30 degrees.
