Question

In the adjoining figure pq= pr . if angle q= 70 then measure p

Answer 1

The angle ∠P =40°

Step-by-step explanation:

• Given data

        Here PQR is triangle and ∠Q = 70°

        Where

        PQ =QR

• So it is an isosceles Triangle. In an isosceles triangle angle opposite to equal side are also equal.

• ∠R =∠Q       (angle opposite to equal side are also equal)

        ∠R = 70°

• By using triangle angle property in ΔPQR

        ∠P +∠Q +∠R = 180°

        ∠P + 70°+ 70° = 180°

        ∠P + 140° = 180°

        ∠P  = 180° - 140°

        So

        ∠P  = 40°     Answer

Answer 2

Angle p = 40°

Step-by-step explanation:

Let us assume an isosceles triangle Δpqr, in which pq = pr.

Then, angle q and angle r are equal and given that angle q = 70°.

So, angle q = angle r = 70° ............ (1)

Now, in a triangle sum of all the angles is 180°.

So, (angle p) + (angle q) + (angle r) = 180°

⇒ (angle p) + 70° + 70° = 180° {From the equation (1)}

⇒ angle p = 180° - 70° - 70° = 40° (Answer)