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1 answer:
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Given:
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.
To find:
The measures of the 2 acute angles of the triangle.
Solution:
Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,
Divide both sides by 3.
The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:
Therefore, the measures of two acute angles are 26° and 64° respectively.
<u>Given</u>:
The given expression is
We need to simplify the given expression.
<u>Simplification</u>:
Let us simplify the given expression.
Rewriting the given expression, we have;
Let us apply the exponent rule , we get;
Taking LCM, we have;
Simplifying, we get;
Thus, the simplified value of the given expression is
Hence, Option a is the correct answer.