Given:
Two triangles are congruent, i.e., .
To find:
All the measures of both triangle.
Solution:
We have,
.
We know that, corresponding parts of congruent triangles are congruent (CPCTC).
It triangle ABC,
(Angle sum property)
So,
Therefore, m∠A = 53˚, m∠B =90˚
, m∠C =37˚
, m∠X = 53˚, m∠Y =90˚
, m∠Z =37˚
, Segment AB = 3 units
, Segment BC = 4 units
, Segment AC = 5 units
, Segment XY = 3 units
, Segment YZ = 4 units
, Segment XZ = 5 units
.