Question

if an angle is 30 degree more than one half of its complementary find the measure of the angle

Answer 1

let one angle =x
then other = x/2+30

$x + \frac{x}{2} + 30 = 90$
as they are complimentary angles.
$\frac{2x + x + 60 = 180}{2}$
2x+x+60=180
3x=180-60
x= 120/3
x=40


one angle = 40
and another =40÷2+30
=20+30
=50


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Answer 2

An angle is 30° more than half of it's complement

(an angle) is 30° more than half of (it's) complement

0 = 30° more than half of 0s complement

0= (half of 0s complement) + 30°

0 = (0s complement)/2 + 30°

0 = (90° - 0)/2 + 30°

20 = (90° - 0) + 60°

20 + 90° - 0 + 60°

20 + 0 = 90° + 60° = 150°

30 = 150°

0 = 50°

it's complement = 40°

half it's complement = 20°

30° more than half of complement = 50° = 0

this is your answer

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