Answer:
1. 56°
2. 116°
Step-by-step explanation:
We are given the figure PQR having ∠PQR = x° and ∠QPR = 60°. Also, the exterior angle ∠R = (2x+4)°
1. It is required to find the value of x.
Now, we use the 'Exterior Angle Property of a Triangle' which states that 'the sum of two adjacent interior angles of a triangle is equal to the exterior angle of the triangle'.
So, according to our question,
∠PQR + ∠QPR = ∠R
i.e. x + 60° = (2x+4)°
i.e. x = 56°
Hence, the value of x is 56°.
2. As we know that the value of the exterior angle is (2x+4).
So, we substitute the value of x, which gives 2x+4 = 2×56°+4 = 112°+4 = 116°
Hence, the value of exterior angle is 116°
