Question

In PQR, if PQ=QR and Q = 100°, then find R.
(a) 40°
(b) 80°
(C) 120°
(d) 50°

Answer 1

Answer:

40°

Step-by-step explanation:

GIVEN =

PQ = QR

Q = 100°

AS PQ AND QR ARE EQUAL SO,

BY THEOREM ANGLES OPPOSITE TO EQUAL SIDES ARE EQUAL SO,

WE CAN SAY THAT ANGLE P = ANGLE R = X

THEREFORE BY ANGLE SUM PROPERTY OF THE TRIANGLE,

ANGLE P + ANGLE Q + ANGLE R = 180°

X + 100 + X = 180°

2X = 180 - 100

2X = 80°

X = 40°

THEREFORE ANGLE R = 40°

Answer 2

Answer:

R=40°

Step-by-step explanation:

process is given in the picture