The measures of the two acute angles in a right triangle are in the ratio 7:3. Find the
measures of the two angles.
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The measures of the two acute angles in a right triangle are in the ratio 7:3. Find the
measures of the two angles.
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Verified answer
Answer :
›»› The measure of the two angles is 63° and 27° respectively.
Given :
To Find :
Solution :
Let us assume that the measure of the two angles is "7x" and "3x" respectively.
As we know that
The sum of all three angles of right angle traingle is 180°.
→ 7x + 3x + 90 = 180
→ 10x + 90 = 180
→ 10x = 180 - 90
→ 10x = 90
→ x = 90/10
→ x = 9/1
→ x = 9
Therefore,
The measure of the two angles is,
Hence, the measure of the two angles is 63° and 27° respectively.
Verification :
The sum of all three angles of right angle traingle is 180°.
→ 63 + 27 + 90 = 180
→ 90 + 90 = 180
→ 180 = 180
Here, LHS = RHS
Hence Verified !!