The measures of ∠x and ∠y in Fig. 6.14 are respectively:
a. 30°, 60°
b. 40°, 40°
c. 70°, 70°
d. 70°, 60°

Solution:

Given, the figure represents a triangle

We have to find the values of x and y.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles of the triangle.

By exterior angle property,

120° = x + 50°

x = 120° - 50°

x = 70°

By angle sum property of a triangle,

We know that the sum of all the three interior angles of the triangle is equal to 180 degrees.

So, 50° + x + y = 180°

70° + y = 180° - 50°

y = 130° - 70°

y = 60°

Therefore, the values of x and y are 70° and 60°

✦ Try This: In ∆PQR, ∠P = 80°, PS bisects ∠P and PS⊥QR. Then, ∠Q is equal to

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 34

The measures of ∠x and ∠y in Fig. 6.14 are respectively: (a) 30°, 60°, (b) 40°, 40°, (c) 70°, 70°, (d) 70°, 60°

Summary:

The measures of ∠x and ∠y in Fig. 6.14 are 70°, 60° respectively

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