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30° and 60°.
<h3>Further explanation</h3>We will solve the problem of the measures of angles in the triangle.
Recall this condition:
- The acute angle ⇒ an angle of less than 90°.
- The right angle ⇒ an angle of exactly 90°.
- A right triangle ⇒ a triangle in which one angle is a right angle.
- The interior angles ⇒ the angles inside a triangle.
- All the interior angles in a triangle , i.e.,
<u>Given that:</u>
The ratio of the measure of the acute angle in a right triangle is ¹/₂.
<u>Question:</u>
Find the measures of the two angles.
<u>The Process:</u>
We call it the triangle ABC. An interior angle inside is a right angle, e.g., ∠A = 90°.
From the ratio of two other acute angles, i.e., 1: 2, we call it ∠B = x and ∠C = 2x.
Let's arrange the three angles in ABC triangle as follows:
Both sides subtracted by 90°.
Both sides divided by 3.
We get
We substitute the value of x back into B and C.
We have succeeded in getting the measures of the two angles.
<h3>Learn more</h3>- Undefined terms needed to define angles brainly.com/question/3717797
- What is 270° converted to radians brainly.com/question/3161884
- A triangle is rotated 90° about the origin brainly.com/question/2992432
Keywords: the ratio, the measure, the acute angle, a right triangle, 1/2, 180°, 90°, 30°, 60°, the interior angles
