129k views
1 vote
Solve for x and the measurement of ABC

Solve for x and the measurement of ABC-example-1

2 Answers

6 votes


\\ \ast\sf\hookrightarrow 5x-13+8x+3=180


\\ \ast\sf\hookrightarrow 13x-10=180


\\ \ast\sf\hookrightarrow 13x=180-10=170


\\ \ast\sf\hookrightarrow x=(170)/(13)


\\ \ast\sf\hookrightarrow x\approx 13

Now


\\ \ast\sf\hookrightarrow m<ABC=5x-13


\\ \ast\sf\hookrightarrow 5(13)-13


\\ \ast\sf\hookrightarrow 65-13


\\ \ast\sf\hookrightarrow 52

User Carrizo
by
6.2k points
4 votes

Answer:

m‹ABC + m‹DBC = 180° [ angles on a straight line ]


{ \tt{(5x - 18) \degree + (8x + 3) \degree = 180 \degree}} \\ \\ { \tt{13x - 15 = 180}} \\ \\ { \tt{13x = 195}} \\ \\ { \tt{x = 15}}

m‹ABC = 5(15)-18

mABC = 57°

User Johan Boberg
by
6.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.