Question

1. use $\triangle amt$ at the right.

a. solve for $x$.
b. find the measure of each

1. in $\triangle cup$ the $m\angle c = 60^\circ$, $m\angle u$
2. $\triangle prt$ has two equal angles that

find the value of $x$ for each diagram
16.

1. one of the remote interior angles

Explanation:

To solve for \( x \) in the given triangle (problem 16), we use the Exterior Angle Theorem, which states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step 1: Identify the non - adjacent interior angles

In the triangle, the two non - adjacent interior angles to the exterior angle \( x^{\circ} \) are \( 42^{\circ} \) and \( 61^{\circ} \).

Step 2: Apply the Exterior Angle Theorem

According to the Exterior Angle Theorem, \( x=42 + 61 \)

Step 3: Calculate the sum

\( 42+61 = 103 \)

Answer:

\( x = 103 \)