Question

In the adjoining figure, if ∠3 = 3x0 & ∠5 = x0. Find measure

angle 7 =​

Answer 1

Answer :-

The measure of ∠7 is 45°.

Step-by-step explanation :-

To Find,

• The measure of ∠7

Solution,

Given that,

• ∠3 = 3x°
• ∠5 = x°

Figure,

• Refer the attachment

As we know that,

➮ ∠3 + ∠5 = 180° ...... adjacent angles are supplementary ( 180° )

➮ 3x + x = 180

➮ 4x = 180

➮ x = 180 / 4

➮ x = 45 ★

Hence, the value of x is 45.

Therefore, the measure of angles ∠5 and ∠3 is,

• The measure of angle which we assumed as 3x ( ∠3 )

➮ 3 × 45

➮ 135° ★

• The measure of angle which we assumed as x ( ∠5 )

➮ x

➮ 45° ★

Hence, the measure of ∠3 and ∠5 is 135° and 45° respectively.

Therefore, the measure of ∠7 is,

➮ ∠5 = ∠7 = 45° ..... opposite angles

Hence, the measure of ∠7 is 45°.