Question

Find measures of `/_G` and `/_H` in the following?

Answer 1

`m/_G=63^@` and `m/_H=27^@`

Explanation:

As angles G and H are complementary, we ahve `m/_G+m/_H=90^@`

But `m/_G=3x+6` and `m/_H=2x-11`, hence

`3x+6+2x-11=90^@`

or `5x-5=90`

or `5x=95`

and `x=95/5=19`

Hence `m/_G=3xx19+6=63^@` and `m/_H=2xx19-11=27^@`