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.
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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.
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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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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°