In a triangle PQR, PQ = PR and ∠ Q is four times that of ∠ P. Then ∠ Q

| In a triangle PQR, PQ = PR and Q is four times that of P. Then Q is equal to

A. 36 degrees

B. 20 degrees

C. 60 degrees

D. 80 degrees

Right Answer is: D

SOLUTION

Let P = x degrees

then ∠Q = 4x (given)
Now, as PQ = PR, opposite angles to these sides will be equal
therefore ∠Q = ∠R = 4x

So, x+4x+4x = 180 degrees
9x = 180

X=20 degrees

Q = 4x = 80 degrees

Leave a Comment

Your email address will not be published. Required fields are marked *