In ∆PQR, if ∠P = 60°, and ∠Q = 40°, then the exterior angle formed by producing QR is equal to
a. 60°
b. 120°
c. 100°
d. 80°
Solution:
Given, PQR is a triangle
Also, ∠P = 60°, and ∠Q = 40°
We have to find the exterior angle formed by producing QR.
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.
Let the exterior angle be x.
By exterior angle property,
x = ∠P + ∠Q
x = 60° + 40°
x = 100°
Therefore, the exterior angle is 100°.
✦ Try This: If one of the angles of a triangle is 150°, then the angle between the bisectors of the other two angles is equal to
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 29
In ∆PQR, if ∠P = 60°, and ∠Q = 40°, then the exterior angle formed by producing QR is equal to: a. 60°, b. 120°, c. 100°, d. 80°
Summary:
In ∆PQR, if ∠P = 60°, and ∠Q = 40°, then the exterior angle formed by producing QR is equal to 100°
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