Question

The measure of AngleRST can be represented by the expression (6x + 12)°. Three lines extend from point S. The space between lines S R and S U is 78 degrees. The space between lines S U and S T is 3 x minus 12. What is mAngleRST in degrees?

Answer 1

Answer:The measure of angle RST is 120\°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m<RST=(6x+12)\° -----> equation A

m<RST=78\°+(3x-12)\° -----> equation B

equate equation A and equation B

(6x+12)\°=78\°+(3x-12)\°