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An acute triangle has three angles 89°, y, and 23°. Find y. A) 68° B) 78° C) 90° D) 112°

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Final answer:

In an acute triangle, the sum of the three angles is 180 degrees. To find y, subtract the sum of the other two known angles from 180 degrees. In this case, y is equal to 68 degrees.

Step-by-step explanation:

An acute triangle has three angles.

The sum of the angles in any triangle is always 180 degrees. So, to find the measure of angle y in the given acute triangle, we subtract the sum of the other two known angles (89° and 23°) from 180°:

y = 180° - (89° + 23°)

= 180° - 112°

= 68°.

Therefore, the measure of angle y in the given acute triangle is 68°.

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