Question

Quadrilateral GRAY is and isosceles trapezoid with bases GR and AY. If m angle G=7x-3 and m angle R=3x+33, what is the measure of angle G?

Answer 1

Answer:

m∠G=60°

Explanation:

Given an Isosceles Trapezoid, the measures of the base angles are equal.

Therefore:

$m\angle G=m\angle R$

Substitute the given expressions:

$7x-3=3x+33$

Then, solve the equation for x:

$\begin{gathered} 7x-3x=33+3 \\ 4x=36 \\ x=\frac{36}{4} \\ x=9 \end{gathered}$

Finally, we can then find the measure of angle G.

$\begin{gathered} m\angle G=7x-3 \\ =7(9)-3 \\ =63-3 \\ m\angle G=60\degree \end{gathered}$

The measure of angle G is 60 degrees.