Two suppplementaryangles differ by 18
degree find the measure of each angle
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Answer:
the angles are 99° and 81°
Explanation:
↦ x - y = 18° ... eq(1).
Also by using concept we get,
↦ x + y = 180° ...eq(2).
By adding eq(1) and eq(2) we get:-
↦ (x - y) + (x + y) = 18° + 180°.
↦ x - y + x + y = 198°.
↦ 2x = 198°.
↦ x = 198°/2.
↦ x = 99°
By putting the value of x in eq(1)
we get:-
↦ x - y = 18°.
↦ 99° - y = 18°.
↦ y = 99° - 18°.
↦ y = 81°.
Therefore the angles are 99° and 81°.
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