The measure of the given sides and angles are,
1) ZX = 1.3 inch
2) EG = 3.0 inch
3) m ∠ X = 48°
4) m ∠G = 25°
What is congruent triangles?
If the three sides and the three angles of both angles are equal in any orientation, two triangles are said to be congruent.
Given: ΔXYZ ≅ ΔEGF
Because the triangles are assumed to be congruent, their corresponding angles and sides must have similar measurements and lengths.
a. ZX = _ in
ZX's length is the same as FE's length. Therefore, the length should be 1.3 inches.
b. EG = _ in
EG's length is the same as XY's length. The figure indicates that the answer should be 3.0 in.
c. m ∠X = _ °
Angle E and angle x should both have the same measure. This is stated to be 48 degrees.
d. m ∠G
Angle Z's measurement is the same as angle F's measurement.
In that case, 107° should be the value assigned to angle F.
Angle E in the triangle to the right measures 48°, while angle F measures 107°.
the sum of these angles is subtracted from 180°.
The angle G's measure, which is equal to 25°.
Hence,
1) ZX = 1.3 inch
2) EG = 3.0 inch
3) m ∠ X = 48°
4) m ∠G = 25°
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Complete question:
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