Change resourceExample 5
Mathematics · Chapter 6 · NCERT Examples
Verified NCERT questions and solutionsSolutions are checked independently and follow the supplied NCERT chapter edition.
Observe Figure 6.30 and find ∠P.
Figure 6-30 from the supplied NCERT chapter.Solution
Given:
The side lengths and two angles of triangles ABC and PQR are marked in Figure 6.30.
To find:
The measure of angle P.
Figure 6-30 from the supplied NCERT chapter.Solution:
In △ABC and △RQP:
Thus:
Therefore, △ABC ∼ △RQP by SSS similarity.
The verified correspondence is A ↔ R, B ↔ Q and C ↔ P. Hence ∠P = ∠C.
By the angle-sum property, ∠C = 180° − 80° − 60° = 40°.
