Question

1. if $mangle h = 5d + 8$ and $d = 14^{circ}$ then which of the following is true about $angle h$? (1) it is acute (2) it is obtuse (3) it is right (4) it is straight

Explanation:

Step1: Substitute the value of d

Substitute $d = 14^{\circ}$ into $m\angle H=5d + 8$.
$m\angle H=5\times14+8$

Step2: Calculate the measure of angle H

First, calculate $5\times14 = 70$. Then $70+8=78^{\circ}$.
$m\angle H = 78^{\circ}$

Step3: Classify the angle

Since an acute angle is an angle with measure less than $90^{\circ}$, and $78^{\circ}<90^{\circ}$, $\angle H$ is acute.

Answer:

(1) it is acute