Question

Find the measure of angle B if seven times the complement of angle B exceeds twice the
supplement of angle B by 220°.

Answer 1

The complement of angle B is 90-x. 

Now, 7 times the complement of angle B is 7*(90-x).

 

The supplement of angle B is 180-x. 

Twice the supplement of angle B is 2*(180-x).

Here is the algebra: 

7*(90-x)-2*(180-x)=220 

630-7x-360+2x=220 

-5x= 220+360-630

-5x=-50 

x= -50/-5

x=10 degrees

Answer: 10 degrees.