Question

In the given figure :
Angle B = 2a+15 and Angle C=3a+5
find the values of b and c.

Answer 1

Answer:

b = 105° and c = 140°

Step-by-step explanation:

b = 2a + 15

c = 3a + 5

70+a+2a+15+3a+5 = 360°

[since the sum of the angles of quadrilateral is 360°]

=> 6a + 90 = 360°

=> 6a = 270°

=> a = 45°.

Substituting for b we get b = 2a + 15

b = 2 × 45 + 15 = 105°.

c = 3 × 45 +5 = 140°.