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28° & 62° are the measure of each acute angle.
What is acute angle and example?
Acute angles are defined as those that are less than 90 degrees. Compared to the right angle, this angle is smaller (which is equal to 90 degrees).
For instance, acute angles include 30°, 45°, 60°, 75°, 33°, 55°, and 85°, among others.
In a right triangle we know that one of the angles is 90°. We also know that the 3 angles must add up to 180°.
Let x = acute angle 1
y = acute angle 2
We have 2 unknowns, therefore we must have 2 equations to solve this.
Eq. I Eq. II
90 + x + y = 180
x + y = 180 - 90
x + y = 90
Using the value for x in terms of y from Eq. II in Eq. I we can solve for y:
x = 2y + 6
x + y = 90
2y + 6 + y =90
3y = 90 - 6
3y = 84
y = 84/3
y = 28
Using this value for y in Eq. II we can solve for x:
x = 2y + 6
x = 2(28) + 6
x = 56 + 6
x = 62
Learn more about acute angle
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The complete question is -
In a right triangle, the measure of one acute angle is 2 times the sum of the measure of the other acute angle and 3. Find the measure of each acute angle
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