Question

What is the measure of angle C rounded to the nearest whole number?

Answer 1

The measure of angle C is 45°.

First, you must know that a triangles angles add up to 180°.

Then, do 180° - 90° = 90° because there is a right angle and right angles are equal to 90°.

Next, you need to split the 90° into 2 because there are 2 remaining angles. 90/2 = 45

Therefore C = 45°

Answer 2

D) angel C = 28 degree.

Explanation:

Given : Right triangle with hypotenuse 17 and opposite side 8.

To find : what is the measure of angle C rounded to the nearest whole number?

Solution : we have given that hypotenuse = 17.

opposite side = 8.

By the Pythagorean theorem :
`hypotenuse^(2) = opposite^(2) +adjacent^(2)`.

`(17)^(2) = (8)^(2) +adjacent^(2)`.

289 = 64 +
`adjacent^(2)`.

289 -64 =
`adjacent^(2)`.

225 =
`adjacent^(2)`.

Taking square root

15 = adjacent side.

Cos c =
`(adj)/(Hyp)`.

Cos c =
`(15)/(17)`.

Taking inverse

C =
`cos^(-1)((15)/(17))`.

C = 28.07.

Nearest whole number = 28.

Therefore, D) angel C = 28 degree.