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1 year ago

M∠a=(48−x)°m∠b=(9x−38)°m∠c=90°

Mathematics

1 answer:

Fudgin [204]1 year ago

4 0

Answer:

Option C:

m∠a = 38°
m∠b = 52°

m∠c = 90°

Step-by-step 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°.

<h3>Solve for x</h3>

∠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.

<h3>Angle A</h3>

48° - x
48° - 10°
38°

<h3>Angle B</h3>

9x - 38°
9(10°) - 38°
90° - 38°
52°

<h3>Angle C</h3>

90°

The answer is Option C:

m∠a = 38°
m∠b = 52°

m∠c = 90°

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