Question

6 fill in the blank 0.5 points find ( m angle a b d ).

Explanation:

Step1: Use the exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
So, \(2x + 16=(x + 12)+58\).

Step2: Solve the equation for \(x\)

$$
LATEXBLOCK0
$$

Step3: Find \(m\angle ABD\)

Substitute \(x = 54\) into the expression for \(\angle ABD\) (\(\angle ABD=(2x + 16)^{\circ}\)).
\(m\angle ABD=2\times54+16=108 + 16=124^{\circ}\)

Answer:

\(124^{\circ}\)