20. The angles of a triangle are x, y and 40°. The
difference between the two angles x and y is 30°.
Find x and y.
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total angles in a triangle = 180
so :
- x + y + 40 = 180
x + y = 140
diff between x and y is 30 degrees.
therefore,
- x - y = 30
now add both the equations :
x + y = 140
x - y = 30
2x = 170 (both y's cancel each other)
x = 85
use x = 85 to find y
85 - y = 30
y = 85 - 30
y = 55
so in the end we get :
x = 85 and y = 55
hope I helped :))
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