Question

M∠a=(48−x)°m∠b=(9x−38)°m∠c=90°

Answer 1

Option C:

• m∠a = 38°
• m∠b = 52°

• m∠c = 90°

Explanation:

Hello!

The sum of all angles in a triangle is 180°.

Add up all the angles and solve for x by setting the equation to 180°.

Solve for x

• ∠a + ∠b + ∠c = 180°
• (48 - x)° + (9x - 38)° + 90° = 180°
• 10° + 8x + 90° = 180°
• 8x = 180° - 90° - 10°
• 8x = 80°
• x = 10°

Now that we solved for x, we can plug it back into each equation to solve for each angle.

Angle A

• 48° - x
• 48° - 10°
• 38°

Angle B

• 9x - 38°
• 9(10°) - 38°
• 90° - 38°
• 52°

Angle C

• 90°

The answer is Option C:

• m∠a = 38°
• m∠b = 52°

• m∠c = 90°