227k views
10 votes
Find mZG.
E
110
F
G
mZG=

Find mZG. E 110 F G mZG=-example-1

2 Answers

10 votes

Similar sides have similar angles


\\ \sf\longmapsto 110+90+90+m<G=360


\\ \sf\longmapsto m<G+290=360


\\ \sf\longmapsto m<G=360-290


\\ \sf\longmapsto m<G=70

User Admcfajn
by
4.3k points
13 votes

Answer:

  • m∠G = 70°

Explanation:

Kite has a pair of equal angles:

  • m∠H = m∠F = 90°

It leaves the remaining angles as supplementary:

  • m∠E + m∠G = 180°
  • m∠G = 180° - 110° = 70°
User Fifix
by
4.4k points