In Fig. 6.4, ∠PRS = ∠QPR + ∠ ________ . Fill in the blanks to make the statement true
Solution:
Given, ∠PRS = ∠QPR + ∠ ________.
We have to fill in the blanks to make the statement true.
Exterior angles are defined as the angles formed between the side of the polygon and the extended adjacent side of the polygon.
From the given figure,
∠PRS is an exterior angle.
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 the above theorem,
The interior angles opposite to the exterior angle ∠PRS are ∠QPR and ∠PQR
Therefore, ∠PRS = ∠QPR + ∠PQR.
✦ Try This: In Fig. 6.27, ∠TPQ = ∠PQR + ∠ ________ . Fill in the blanks to make the statement true
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Sample Problem 8
In Fig. 6.4, ∠PRS = ∠QPR + ∠ ________ . Fill in the blanks to make the statement true
Summary:
In Fig. 6.4, ∠PRS = ∠QPR + ∠PQR
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