Question

Please answer it now in two minutes

Answer 1

Answer:

m∠C = 90°

Step-by-step 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 = $\frac{7}{8}$

$C=\text{Cos}^{-1}(\frac{7}{8})$

C = 28.955

C = 29°

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