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Determine the value of z

A. 20 degrees
B. 36 degrees
C. 88 degrees
D. 124 degrees

Determine the value of z A. 20 degrees B. 36 degrees C. 88 degrees D. 124 degrees-example-1
User Dlaor
by
3.5k points

1 Answer

4 votes

WE STILL HAVE TO FIND THE TWO UNKNOWNS FIRST. TO BE ABLE TO GET Z

x°+144°=180°(angles on a straight line)

x°=180°-144°

x=36°

y°+56°=180°(angles on a straight line)

y°=180°-56°

y=124°

z°+y°+x°=180°(sum of angles in a triangle)

z°+124°+36°=180°

z°=180°-124°-36°

z=20°

User Stepan Dyatkovskiy
by
3.5k points