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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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2 Answers

  1. 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!

  2. 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!

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