the complemently angles are in the ratio 2:3 find angles
Answers
Answered by
1
Answer:
The angles are
Step-by-step explanation:
2x+3x=180
5x=180
X=180÷5
X=36
2x=2×36=72
3x=3×36=108
Answered by
5
- First angle = 36°
- Second angle = 54°
Step-by-step explanation:
Given:
We are given that the pair of complementary angles are in the ratio 2:3.
To find:
We need to find the angles.
Solution:
Let us assume:
- First Angle = 2x
- Second Angle = 3x
Pair of Complementary angles means the sum of a pair of angles is 90°.
→ 2x + 3x = 90
→ 5x = 90
→ x = 90/5
→ x = 18
Hence, the angles are:
→ First angle = 2x
→ First angle = 2×18
→ First angle = 36°
→ Second angle = 3x
→ Second angle = 3×18
→ Second angle = 54°
Verification:
Let us verify whether the pair of angles are complementary.
→ First angle + Second angle = 90°
→ 36° + 54° = 90°
→ 90° = 90°
Hence, verified.
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