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kap26 [50]
3 years ago
8

HELPPP!!!! 10 PTS!!

Mathematics
2 answers:
KengaRu [80]3 years ago
8 0

Focus on the triangle. One angle measures 31+x, the bottom right measures 45 (it is supplementary to a 135 angle). The bottom left measures x+12 because it is opposite to the x+12 angle. The sum of interior angles of a triangle must be 180, so we have

(31+x)+45+(x+12)=180 \iff 2x+88=180 \iff 2x=92 \iff x=46

Angle y is supplementary with the x+12 angle, so we have

y=180-(x+12)=180-x-12=180-46-12=122

Finally, angle x+12 measures 46+12=58

alina1380 [7]3 years ago
5 0

Answer:

x=46

y=122

m angle (x+12)=58°

Step-by-step explanation:

31+x+45+12+x=180

2x+88=180

x=46

y=122

x+12=58°

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