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Two of the angles in a triangle measure 90° and 24°. What is the measure of the third angle?

Two of the angles in a triangle measure 90° and 24°. What is the measure of the third angle?

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Quizzma TeamMarch 22, 2025

In a triangle, the sum of all three angles is always 180°.

You’ve been given two angles: 90° and 24°. To find the third angle, you can use the formula:

Third angle = 180° – (Angle 1 + Angle 2)

Substituting the values:

Third angle = 180° – (90° + 24°)

Third angle = 180° – 114°

Third angle = 66°

So, the measure of the third angle is 66°. If you need further assistance, feel free to ask!

Quizzma TeamMarch 22, 2025

To find the measure of the third angle in a triangle, we can use the fact that the sum of all angles in a triangle is always 180°.

Given:

– First angle = 90°

– Second angle = 24°

We can find the third angle (let’s call it ( x )) using the equation:

[ 90° + 24° + x = 180° ]

Now, add the first two angles:

[ 90° + 24° = 114° ]

Next, subtract this sum from 180° to find ( x ):

[ x = 180° – 114° = 66° ]

Thus, the measure of the third angle is 66°. If you have more questions, feel free to ask!