KnowledgeBoat Logo
|

Mathematics

In the given figure, PQR is a straight line. Find the value of x.

In the given figure, PQR is a straight line. Find the value of x. Lines and Angles, Foundation Mathematics R.S. Aggarwal ICSE Class 7.

Lines & Angles

3 Likes

Answer

Since PQR is a straight line, we have:

∠PQA + ∠AQB + ∠BQC + ∠CQR = 180°

We know from the figure that,

∠PQA = 60°, ∠AQB = 15°, ∠BQC = x°, ∠CQR = 40°

Substituting the values in above, we get:

⇒ 60° + 15° + x° + 40° = 180°

⇒ 115° + x° = 180°

⇒ x° = 180° - 115°

⇒ x° = 65°

The value of x° is 65°.

Answered By

1 Like

Related Questions