# In Fig. 6.35, QP || RT. Find the values of x and y.

**Solution:**

Given, PQR is a triangle.

Also, QP || RT

We have to find the values of x and y.

Since QP || RT, the alternate interior angles are equal.

So, ∠QPR = ∠PRT

x = 70°

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

∠P + ∠Q + ∠R = 180°

x + 30° + y = 180°

70° + 30° + y = 180°

100° + y = 180°

y = 180° - 100°

y = 80°

Therefore, the values of x and y are 70° and 80°.

**✦ Try This: **Find the value of x and y.

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

**NCERT Exemplar Class 7 Maths Chapter 6 Problem 118**

## In Fig. 6.35, QP || RT. Find the values of x and y.

**Summary:**

In Fig. 6.35, QP || RT. The values of x and y are 70° and 80°.

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