Question

(This is on my quaturly check Help!!!) ABC and CBD are supplementary angles. m/ABC=(5x+12) and m/CBD=(13x+24).Complete all the parts plz!

Answer 1

Explanation:

Part (A).

Angles ABC and CBD are the supplementary angles.

Therefore, m(∠ABC) + m(∠CBD) = 180°

Now substitute the measure of each angle in the equation,

(5x + 12)° + (13x + 24)° = 180°

18x + 36 = 180

18x = 180 - 36

18x = 144

x = 8

Part (B).

m∠ABC = (5x + 12)

= 5(8) + 12

= 52°

m∠CBD = (13x + 24)

= 13(8) + 24

= 104 + 24

= 128°

Part (C).

We can check the results by adding measures of these angles.

m∠ABC + m∠CBD = 52 + 128

= 180°

Therefore, both the angles are supplementary angles which is already given.