Question

If triangle DEF is congruent to triangle GJH, find each missing angle?

Answer 1

<F = 105°

<G = 41°

<J = 34°

GJ = 19m

JH =14m

GH = 16m

Explanation:

Since triangle DEF is congruent to triangle GJH, the following are true

<D = <G

<E = <J

<F = <H

Given

<H = 105°

Hence <F = 105°

Also <E = 34° =<J

From ∆GHJ

<G+<H+<J = 180°

<G+105+34 = 180°

<G + 139 =180

<G= 180-139

<G = 41°

Get the sides. For the sides, the following are true

DE = GJ = 19m

Also EF =JH = 14m

DF =GH = 16m