Question

use the image below to find the requested values.
find the measure of ∠bgt.
label optional
35
what is the value of p?

Explanation:

Step1: Identify the angle relationship

From the diagram, \( \angle BGF \) is a right angle (since \( GB \) is horizontal and \( GF \) is vertical), so \( \angle BGT + 55^\circ = 90^\circ \). We know \( \angle BGT = 35^\circ \) (from the first part), and \( \angle BGT = (-7p)^\circ \).

Step2: Solve for \( p \)

Set up the equation: \( -7p = 35 \) (since \( \angle BGT = 35^\circ \) and \( \angle BGT = (-7p)^\circ \)).
Divide both sides by \( -7 \): \( p = \frac{35}{-7} = -5 \).

Answer:

\( -5 \)