Question

Triangles X Y Z and E G F are shown. Side X Y is 3.0 inches and angle Y Z X is 107 degrees. Side F G is 2.4 inches and side E F is 1.3 inches. Angle G E F is 48 degrees. Given ΔXYZ ≅ ΔEGF, find the measurements of the unknown sides and angles. ZX = in. EG = in. M∠X = ° m∠G = °

Answer 1

Answer:

ZX = 1.3 in

EG = 3.0 in

M∠X = 48°

M∠G = 25°

Step-by-step explanation:

As we can see in the attached figure that these two triangles are identical i.e their corresponding sides and angles are equal

Therefore if we say that

ZX = EF

So ZX = 1.3 in.  

Now the same is applied for other sides and angles

EG = XY

So, EG = 3.0 in

M∠X = M∠E

hence, M∠X = 48°

For the M∠ G,

The angle is

= 180° - 107° - 48°

= 25°

Hence, the M∠ G is 25°