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The triangle PQR above is

The triangle PQR above is

A.
an obtuse-angled triangle
B.
a scalene triangle
C.
an isosceles triangle
D.
an equilateral triangle

Correct Answer: Option C

Explanation

∠PQR = 180 – 128 (∠s on a straight line)
= 52^o
∠QPR + 76 + 52 = 180(extr ∠ = sum of intr. opp ∠s)
∠QPR + 128 = 180
∠QPR = 180 – 128
= 52^o
∴ΔPQR is an isosceles triangle