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Two angles of a triangle are equal and the third angle measures 70°. Find the measure of each of the unknown angles.
  • a)
    50°
  • b)
    55°
  • c)
    70°
  • d)
    110° 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two angles of a triangle are equal and the third angle measures 70°...
Let the measure of each unknown angle be x°. We know that the sum of the angles of a triangle is 180°. 
∴ x + x + 70 = 180° 
⇒ 2x = (180° – 70°)
⇒ 2x = 110°
⇒ x = 55°
Hence each unknown angle is 55°.
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Most Upvoted Answer
Two angles of a triangle are equal and the third angle measures 70°...
Let's assume that the two equal angles in the triangle each measure x degrees.

Since the sum of the angles in a triangle is 180 degrees, we can write an equation:

x + x + 70 = 180

Combining like terms:

2x + 70 = 180

Subtracting 70 from both sides:

2x = 110

Dividing both sides by 2:

x = 55

Therefore, each of the two equal angles in the triangle measures 55 degrees, and the third angle measures 70 degrees.
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