In the diagram above, length of P S= Length of S Q and angle S Q R=112^{}. Find the value of x.

Correct Answer is : 44∘44^{}44∘

Correct Answer is : 44∘44^{}44∘

Test Index

BECE Mathematics 2010 Paper

Question : 30

Total: 40

P S=

S Q

S Q R=112^{\circ}

x

Solution:

Triangle SQP is isosceles triangle. The base angles of isosceles triangle are the same.

Angle SQP = Angle SPQ

Angle SQP

+112=180

(Sum of angles on a straight line is 180)

Angle SQP = 180 - 112

Angle SQP = 68

Angle SQP + Angle SPQ + Angle QSP = 180(Sum of angles in a triangle is 180)

Angle SQP

=

Angle SPQ

=68

Angle QSP

=x

\;68+68+x=180

\;136+x=180

\;x=180-136

\;x=44^{\circ}

Go to Question:

Prev Question

Next Question