Question

1. determine the measure of angle θ. (show your work for full marks)

a triangle-like figure with angle at a: 88°, side ab: 7.3 in, angle at c: 35°, side cd: 5.2 in, right angle at d, and angle θ at b.

Explanation:

Step1: Identify triangle angles

In $\triangle ABC$, $\angle BAC = 88^\circ$, $\angle ACB = 35^\circ$.

Step2: Calculate $\angle ABC$

Sum of angles in triangle: $180^\circ$.
$\angle ABC = 180^\circ - 88^\circ - 35^\circ = 57^\circ$.

Step3: Find $\theta$

$\theta$ is $\angle ABC$, so $\theta = 57^\circ$.

Answer:

57°