Question

The difference in the measures’ of two supplementary angles is 64°. Find the measures of the angles​

Answer 1

Answer :

The angles are :

• 122°
• 58°

Step-by-step explanation :

To Find,

• The measure of the angles

Solution,

Given that,

• The difference in the measures of two supplementary angles is 64°

Let us assume one angle as x and let the other angle which is given, difference in the measures of two supplementary angles is 64 as x - 64

Therefore,

⟹ x + ( x - 64 ) = 180° ..... supplementary angles measures 180°

⟹ x + x - 64 = 180

⟹ 2x - 64 = 180

⟹ 2x = 180 + 64

⟹ 2x = 244

⟹ x = 244 / 2

⟹ x = 122

Hence, the value of x is 122.

Therefore, the measure of angles are,

• The measure of angles which we assumed as x

⟹ x = 122°

• The measure of angles which we assumed as x - 64

⟹ x - 64

⟹ 122 - 64

⟹ 58°

Therefore, the angles are 122° and 58°.

Answer 2

Answer:

The angles are : 122 °; 58°. Step-by-step explanation : To Find,. The measure of the angles. Solution,. Given that,.