[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
- One angle of a right triangle measures 63°. What is the measure of the other acute angle?
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
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°.
