Question

∠7 is a supplement of ∠8, and m∠7=109°. Find m∠8.

Answer 1

Answer:

if angle 7 is a supplement of angle 8 then m×angle 7 + m× angle 8 = m×180

m×angle 7 = 109

then m×angle 8 = 180-109=71 degree

Answer 2

Given : ∠7 is a supplement of ∠8, and m∠7=109°

To Find : m∠8.

Solution:

Two angles are supplementary if their measures adds up to 180°

∠7 is a supplement of ∠8

=> m∠7 + m∠8 = 180°

Substitute  m∠7=109°

=> 109° + m∠8 = 180°

Transpose  109°  on RHS

=>  m∠8 = 180° - 109°

=> m∠8 = 71°

Hence m∠8 = 71°

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