Question

Find the value of the variable and the measures of the angleswhose degree measure is noted on the figure.(2x+8)360(The figure is not to scale.)X=(Simplify your answer. Type an integer or a decimal.)The measure of the lower right interior angle is _º.(Simplify your answer. Type an integer or a decimal.)The measure of the upper left exterior angle, indicated by (2x+8)° is ..(Simplify your answer. Type an integer or a decimal.)

Answer 1

SOLUTION

The sum of two interior angles = an exterior opposite angle

Therefore, 36 + x = (2x + 8)

$\begin{gathered} 36+x=(2x+8) \\ 36+x=2x+8\text{ } \\ \text{Collecting like terms } \\ 2x-x=36-8 \\ x=28^o \end{gathered}$

The lower right interior angle is x. And x = 28 degrees

The upper right exterior angle is 2x + 8

$\begin{gathered} 2x+8 \\ 2(28)+8 \\ 56+8 \\ 64^o \end{gathered}$

Therefore, the upper right exterior angle is = 64 degrees