SOLUTION: sketch a quadrilateral EFGH. Mark in ∠GEF =50°,∠FGE=50°, ∠EGH=40° and ∠EHG=90°. Calcukate ∠EFG and ∠HEG

Algebra.Com
Question 1019261: sketch a quadrilateral EFGH. Mark in ∠GEF =50°,∠FGE=50°,
∠EGH=40° and ∠EHG=90°. Calcukate ∠EFG and ∠HEG
Answer by Edwin McCravy(20081)   (Show Source): You can put this solution on YOUR website!
sketch a quadrilateral EFGH. Mark in ∠GEF =50°,∠FGE=50°,
∠EGH=40° and ∠EHG=90°. Calculate ∠EFG and ∠HEG


∠EFG + ∠GEF + ∠FGE = 180°
∠EFG +  50° +   50° = 180°
        ∠EFG + 100° = 180°
               ∠EFG = 180° - 100°
               ∠EFG = 80°

∠HEG + ∠EGH + ∠EHG = 180°
∠HEG +  40° +   90° = 180°
        ∠HEG + 130° = 180°
               ∠HEG = 180° - 130°
               ∠HEG = 50°

Edwin
RELATED QUESTIONS

In the figure below, line m is parallel to line n, and line t is a transversal crossing... (answered by richard1234)
The sum of the measures of the angles of any quadrilateral is 360°. The measures of... (answered by josgarithmetic,solver91311)
if ∠a and ∠b are complementary angles and m∠a=5m∠b, find... (answered by Edwin McCravy)
In parallelogram ABCD, m∠A = x + 20 and m∠C = 6x − 50. Find... (answered by drk)
In parallelogram ABCD, m∠A = x + 20 and m∠C = 6x − 50. Find x. (answered by fcabanski)
In a triangle ABC if BC = AC and angle ∠B = 50°, find value of angle ∠C. (answered by Jamie-L)
∠A and ∠B are supplementary. Find ∠A and ∠B. m∠A=3x-7... (answered by Fombitz)
Suppose ∠ A is complementary to ∠ B and ∠ B is supplementary... (answered by Fombitz)
In triangle MNO, the measure of ∠N is 90°, and ∠M = ∠O. If ΔMNO... (answered by Edwin McCravy)