Question

if angle A and Angle B are supplementary angles and measure of Angle B is equals to X + 20 degree and then what would be the measure of angle A​

Answer 1

Let angle A be x

A.T.Q

A+B=180°[Supplementary angles]

x+x+20°=180°

2x=180°-20°

2x=160°

x=160°/2

x=80°

Hence,the measure of angle A =80°

Answer 2

(160 - X)°

Given:

∠A and ∠B are supplementary angles.

∠B = (X + 20)°

To Find:

The measure of angle A​

Solution:

Since, ∠A &  ∠B are the supplementary angles.

∠A + ∠B = 180  

=) ∠A + x + 20 = 180  

=) ∠A + x + 20 – 20 = 180 – 20  (Subtracting 20 from the both sides)

=) ∠A + x = 160  

=) ∠A + x – x = 160 – x ….(Subtracting x from the both sides)  

=) ∠A = (160 – x)°  

Therefore, the measure of ∠A is  (160 – x)°.

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