Question

Two lines intersect at point b, which is also the endpoint of two rays. What is the measure of angle ABC

Answer 1

The answer is "
`22^(\circ)`"

Explanation:

Please find the question image file in the attachment:

In this question,
`\angle B =90^(\circ)`, that is made up of the two complementary angles that are 57 and 3x.

So, the equation is:

`\to 57+3x=90\\\\\to 3x=90-57\\\\\to 3x= 33\\\\\to x=(33)/(3)\\\\\to x= 11`

In
`\Delta ABC`:

BC=2x

put the value of x in above then
`BC= 2* 11^(\circ) =22^(\circ)`