Question

∠A and ∠B are two supplementary angles. If ∠A = 134°, then find ∠B.

Answer 1

Answer:

Measure of Angle B is 46°

Given:

Angle A and angle B are supplementary angles.And measure of Angle A = 134°

To find:

Measure of angle B.

Solution:

We know that sum of supplementary angles = 180°

=>Angle A + angle B = 180°

=> 134°+angle B = 180°

=> Angle B = 180°-134°

=> Angle B = 46°

Verification:

Sum of two supplementary angles = 180°

=> Angle A + angle B = 180°

=> 134° + 46° = 180°

=> 180° = 180°

Here, LHS = RHS.

Hence, Verified.

Answer 2

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∠A and ∠B are two supplementary angles. If ∠A = 134°, then find ∠B.

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We know that sum of two supplementary angle is 180°

Therefore, ∠A+∠B = 180°

∠A = 134°(given)

So,

134°+∠B=180°

=∠B=180°-134°= 46°

The measure of ∠B is $\huge \boxed{46°}$