Question

In triangle PQR, PQ = PR. If angle P = 70 degree. What are the measures of angle Q and angle R?

Answer 1

Answer:

P =70°

R=?

Q=?

P+Q+R=180°

70+2x=180°

2x=110°

x= 55°

R=55°

Q=55°

Answer 2

Given:

PQ = PR

angle P = 70 degree

To find:

Angle Q and angle R

Solution:

The required angles Q and R are equal to 55°.

We can obtain the measures by adding the triangle's angles and equating them to 180°.

In ΔPQR, angle P+angle Q+angle R=180°.

Since PQ+PR, angle Q=angle R as they are corresponding to the equal sides.

Now, using the values, we get

angle P+angle Q+angle Q=180°

70°+2(angle Q)=180°

2(Angle Q)=180°-70°

Angle Q=110°/2

Angle Q=Angle R=55°

Therefore, the required angles Q and R are equal to 55°.