Question

Please answer it now in two minutes

Answer 1

m∠C = 90°

Explanation:

Triangle BDC is a right triangle with the measure of angle D = 90°

By applying Cosine rule in the given triangle,

Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)

CosC =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

CosC =
`\frac{\text{DC}}{\text{BC}}`

CosC =
`(7)/(8)`

`C=\text{Cos}^(-1)((7)/(8))`

C = 28.955

C = 29°

Therefore, m∠C = 29° will be the answer.