Question

One angle of a right triangle measures 63°. What is the measure of the other acute angle?

Answer 1

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• One angle of a right triangle measures 63°. What is the measure of the other acute angle?

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Given that the triangle is a right angled triangle so one of its angles will be 90°. Then,

• angle 1 = 90°
• angle 2 = 63°
• angle 3 = x

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Find x.

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With the angle sum property of a triangle, we can say that ⇨ angle 1 + angle 2 + angle 3 = 180° (the sum of measurements of all sides in a triangle will be equal to 180°).

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Solving...

angle 1 + angle 2 + angle 3 = 180°

90° + 63° + x = 180°

153° + x = 180°

x = 180° - 153°

x = 27°.

• 27° is an acute angle ( 27° is greater than 0° but less than 90°)

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The measure of the other acute angle is 27°.