EFGH is an isosceles trapezoid and EFGI is a parallelogram. If m∠IEF = 36°, then m∠HGI = ° (Blank 1).

The base angles of an isosceles trapezoid are equal; For EFGI to be a parallelogram, the measure of is: 108 degrees

Given that:

IEF and GHI are the base angles of the trapezoid.

So:

Also:

is an isosceles triangle.

This means that:

--- base angles of an isosceles triangle

So:

--- sum of angles in a triangle

Substitute known values

Collect like terms

Learn more about isosceles trapezoids at:

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24