Question

8. Two angles of a triangle are equal and the third angle is greater each one of them by 18°. Find the angles.
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Answer 1

Answer: The angles are 54°, 54°, 72°

Step-by-step explanation:

Let the equal angles be x

Third angle = x + 18°

⇒x + x + (x + 18°) = 180° (Angle Sum Property)

⇒3x + 18°  = 180°

⇒3x = 180°- 18°

⇒x = 162°/3

⇒x = 54°

∴Third angle = 54° + 18°= 72°

⇒The angles are 54°, 54°, 72°

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Answer 2

Answer:

54°, 54°, 72°

Step-by-step explanation:

Let, the measures of each angle be x.

.°. x+x+18°+x=180°

=> 3x=180°-18°=162°

=> x=162°/3=54°

3rd angle=18+54°=72°

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