In a triangle ABC, CA is produced to P, ∠BAP = 126°. If ∠B : ∠C = 5 : 2, the degree measures of ∠B and ∠C are respectively:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 90° and 36°
Concept used:
Exterior angle property: In a triangle, the exterior angle is always equal to the sum of the interior opposite angle
Calculations:
Let the angles of B and C be 5x and 2x
According to the question;
⇒ 5x + 2x = 126
⇒ 7x = 126
⇒ x = 18
Value of ∠B = 5x = 90
Value of ∠C = 2x = 36