Question

Among the two supplementary angles, the measure of the larger angle is 42° more than the measure of the smaller angle. Find the measure of the two angles.​

Answer 1

Answer:

let the smaller angle = x°

larger angle = x°+42°

It is given that the angles are supplementary angles.So the sum of angles will be 180°

=》larger angle + smaller angle = 180°

=》x°+x°+42°=180°

=》2x°+42°=180°

=》2x°=180°-42°

=》2x°=138°

=》x°=69°

Smaller angle = x°=69°

Larger angle = x°+42°=69°+42°=111°

The larger angle is 111° and the smaller angle is 69°.

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Answer 2

Step-by-step explanation:

let the measure of small angle=x

according to the comdition,

the measure of larger angle=x+42

we know that sum of supplementary angle=180°

• x+x+40=180°