Question

(X + 20) ( - 70) are the measure of supplementary angle find the measure of each angle?​

Answer 1

Your Question:-

Q) (x + 20°) and (x - 70°) are the measure of supplementary angle, find the measure of each angle.

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AnswEr:-

The Required Angles Are,

• 135° And 45° Respectively.

ExplanaTion:-

Given:-

• Two angles which are supplementary to each others.

• The Angles are (x + 20°) and (x-70°).

To Find:-

• Both the angles.

Concept Used:-

• Sum of two supplementary angles is always equal to 180°.

Now,

We have given two supplementary angles,

(x + 20°) and (x - 70°), and hence sum of these both the angles must be equal to 180°.

↦ (x + 20°) + (x - 70°) = 180°.

↦ x + 20° + x - 70° = 180°.

↦ x + x + 20° - 70° = 180°.

↦ 2x - 50° = 180°.

↦ 2x = 180° + 50°.

↦ 2x = 230°.

↦ x = 230°/2

↦ x = 115°.

Therefore,

The Angles are,

▪︎ (x + 20°) = (115° + 20°) = 145°.

▪︎ (x - 70°) = (115° - 70°) = 45°.

So The Required Angles are 145° And 45° Respectively.