Question

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

Explanation:

Step1: Identify the right angle

At point G, the angle between GB and GF is a right angle (90°), so the sum of ∠BGT and 55° should be 90°.

Step2: Calculate ∠BGT

Let \( \angle BGT = (-7p)^\circ \). We know that \( 55^\circ + (-7p)^\circ = 90^\circ \). First, find \( (-7p)^\circ \): \( (-7p)^\circ = 90^\circ - 55^\circ = 35^\circ \). So \( \angle BGT = 35^\circ \). Then, solve for \( p \): \( -7p = 35 \) → \( p = 35 \div (-7) = -5 \). But for the measure of \( \angle BGT \), we use the angle we found, 35°.

Answer:

35°