In traiangle measure of two angles are equal and third angle is 400. What are the measure of the equal angles?
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3
Answer:
Step-by-step explanation:
sum of interior angles of triangle is only 180°,so it is not possible that one angle is400°
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Correct Question :
›»› In triangle measure of two angles are equal and third angle is 40°. What are the measure of the equal angles?
Answer :
›»› The measure of the equal angles is 70°.
Given :
- In triangle measure of two angles are equal and third angle is 40°.
To Find :
- The measure of the equal angels.
Solution :
Let us assume that, the measure of the equals angles us "x"
As we know that
The sum of all three angles of a triangle is 180°.
This is also known as angle sum property of triangle.
→ x + x + 40 = 180
→ 2x + 40 = 180
→ 2x = 180 - 40
→ 2x = 140
→ x = 140/2
→ x = 70
Therefore,
The measure of the equals angle of a triangle will be,
- x = 70°.
Hence, the measure of the equal angles is 70°.
Verification :
The sum of all three angles of a triangle is 180°.
→ x + x + 40 = 180
→ 70 + 70 + 40 = 180
→ 140 + 40 = 180
→ 180 = 180
Here, L.H.S. = R.H.S.
Hence Verified !
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