Two supplementary angles are congruent. Which equation gives the measure in degrees, d, of each angle?
2 answers:
In this problem, d=degrees per angle. Supplementary angles are any 2 angles that add up to 180. Because both angles are congruent in this question, they both equal the same thing, so 180 ÷ 2 = d. In algebraic form, it is 2d=180.
Answer:
2d=180
Solution:
The given statement is :Two supplementary angles are congruent.
Two angles are said to be supplementary if sum of these two angles is 180°.
Let one Angle be A, then another angle will be 180 - A.
As given:
A≅180-A
A=180 -A
A +A= 180
2 A = 180
Dividing both sides by 2, we get
A= 90°
The Measure of each angle will be of 90°.
i.e , d = 90°
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