Question

look at the diagram.
diagram with points w, q, u, t, r, s; angles: ∠qw u = 72°, ∠uw t = (5x)°, ∠tw r = 38°
which equation can be used to solve for x?
options:
5x + 110 = 180
5x = 110
5x + 38 = 72
5x + 72 = 180
solve for x.

Explanation:

Answer:

To determine the equation:

• Angles around a straight line sum to \( 180^\circ \). The angles \( 72^\circ \), \( 5x^\circ \), and \( 38^\circ \) lie on a straight line, so their sum is \( 180^\circ \).
• First, calculate \( 72 + 38 = 110 \). Thus, the equation is \( 5x + 110 = 180 \).

To solve for \( x \):

1. Subtract \( 110 \) from both sides: \( 5x = 180 - 110 = 70 \).
2. Divide by \( 5 \): \( x = \frac{70}{5} = 14 \).

(Equation) \( 5x + 110 = 180 \)
(Solution) \( x = 14 \)