If one angle is 30 degree more than one half of its complement, find the measure of the angle
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Answered by
0
Heya !!!
Let angle be X°.
Other angle = 1/2 × (X) + 30 = X/2 + 30°
As we know that sum of two complementary angles is 90^.
So,
X° + X/2 + 30 = 90
2X + X + 60° = 180°
3X = 180°-60°
3X = 120°
X = 120°/3 = 40°
Other angle = X/2 + 30 = 40/2+30 = 50°
Hence,
Angles are 50° and 40°.
★ HOPE IT WILL HELP YOU ★
Let angle be X°.
Other angle = 1/2 × (X) + 30 = X/2 + 30°
As we know that sum of two complementary angles is 90^.
So,
X° + X/2 + 30 = 90
2X + X + 60° = 180°
3X = 180°-60°
3X = 120°
X = 120°/3 = 40°
Other angle = X/2 + 30 = 40/2+30 = 50°
Hence,
Angles are 50° and 40°.
★ HOPE IT WILL HELP YOU ★
Answered by
1
the angle is 50°as the equation forming is-
x-30=1/2(90-x)
x-30=45-x/2
x+x/2=45+30
3x/2=75
x=50
x-30=1/2(90-x)
x-30=45-x/2
x+x/2=45+30
3x/2=75
x=50
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