Read and solve the problem below: <1, <2, and <3 form a straight line. If m<3 is six more than twice m<1 and m<2 is 27 less than m<3, find m<2

Step-by-step explanation:

Let x represent measure of angle 1.

We have been given that measure of angle 3 is six more than twice the measure of angle 1. So measure of angle 3 would be .

We are also told that measure of angle 2 is 27 less than measure of angle 3, so measure of angle 2 would be .

We have been given that angle 1, angle 2 and angle 3 form a straight line, so the sum of angles 1, 2 and 3 would be 180 degrees.

Upon substituting the expressions for measure of angles, we will get:

Now, we will combine like terms.

The measure of angle 2 would be .

Therefore, the measure of angle 2 is 57 degrees.  

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: