Question

1. What is the value of x? Show your work to justify your answer. (2 points)

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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°