In Fig. 6.30, find the value of x.

Solution:

Given, the figure represents a triangle.

We have to find the value of x.

AD bisects BC, so D is equal to 90 degrees.

Angle sum property of a triangle states that the sum of all three interior angles of a triangle is always equal to 180 degrees.

By angle sum property,

∠ABD + ∠BAD + ∠ADB = 180°

x + 55° + 90° = 180°

x + 145° = 180°

x = 180° - 145°

x = 35°

Therefore, the value of x is 35°.

✦ Try This: In ∆PQR, if ∠P = ∠R, and exterior angle PQX = 160°, then find the angles of the triangle.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 108

In Fig. 6.30, find the value of x.

Summary:

In Fig. 6.30, the value of x is 35°.

☛ Related Questions:

• In Fig. 6.31(i), find the values of a, b and c
• In Fig. 6.31(ii), find the values of a, b and c
• In triangle XYZ, the measure of angle X is 30° greater than the measure of angle Y and angle Z is a . . . .