Question

∠a is complementary to ∠c. If ∠a=2x−10 and ∠c=4x+40, find the ∡a and ∡c.

Answer 1

Step-by-step explanation:

angles a+c=90°(since they are complementary)

so,

2x-10+4x+40=90°

6x+30=90°

6x=90-30

6x=60

x=60/6

x=10

substituting the value of x as 10, we get:

angle a=2x-10

=2(10)-10

=20-10

a=10°

angle c=4x+40

=4(10)+40

=40+40

c=80°

therefore angle a=10° and angle c=80°

a+c=90°

thus verified.