Question

if angleAMN=(2a+15)degree and angle b =(3a-15)degree,find a​

Answer 1

Step-by-step explanation:

• Given the angles are:
• a,70o,b=2a+15o and c=3a+5o.
• We know, by angle sum property, the sum of angles of a quadrilateral is 360o.
• Then, a+b+c+70o=360o
• ⇒a+2a+15o+3a+5o+70o=360o
• ⇒6a=360o−90o=270o
• ⇒a=6270o
• ⇒a=45o.
• Therefore, ∠b=2a+15o=2(45o)+15o=90o+15o=105o