Angle Pairs Unit Test

Question

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Question
Two complementary angles have measures (2x)° and (3x)° . What is the value of x and the two angle measures?(2 points)
x=
, (2x)°=
°, and (3x)°=

Answer 1

To find the value of x, we know that two angles are complementary if their measures add up to 90 degrees. So we can set up the equation:

2x + 3x = 90
5x = 90
x = 18

So the value of x is 18. Now we can find the two angle measures:

(2x)° = 2(18) = 36°
(3x)° = 3(18) = 54°

Therefore, the two angle measures are 36° and 54°.