Find the measure of each angle indicated. I can't figure this one out. It is a rhombus so maybe that can help solve this problem.

Question

find the measure of angle F when angle E=118 degrees angle F= 11+8x angle D=63 degrees and angle G=16x.

Answer 1

In a rhombus, the opposite angles are congruent, and the adjacent angles are supplementary.

So, no matter how the figure is labeled, it is not a rhombus.

 

The sum of the interior angles of a quadrilateral is 360°.

 

118 + 11 + 8x + 63 + 16x = 360

24x + 192 = 360

24x = 168

x = 7

 

m∠F = 11 + 8(7)

m∠F = 67