two complementary angels are in ratio 4:5 find the measure of each angle
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Answer:
sum of two complementary angle is 90°.
Step-by-step explanation:
let, the no. are 4x and 5x.
so,
4x+5x=90
9x=90
x=90/9=10
Answered by
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Given:-
- Two complementary angles are in the ratio 4:5.
To Find:-
- The measure of each angle.
Concept used:-
- Sum of two angles of complementary angle is equal to 90°.
Now,
Let' the ratio be "x".
So,
→ 4x + 5x = 90
→ 9x = 90
→ x = 90/9
→ x = 10.
So,
First Complementary angle = 4x→ 4 × 10 → 40°
Second Complementary angle = 5x→ 5 × 10 → 50°
VERIFICATION:-
As given Sum of two Complementary angle is equal to 90°
So,
→ First Complementary angle + second = 90°
→ 40 + 50 = 90
→ 90 = 90.
Hence, Verified.
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