these figures are congruent. what is ( mangle j )?
these figures are congruent. what is ( mangle j )?
Answer
Explanation:
Step1: Recall congruent triangles property
Congruent triangles have equal corresponding angles.
Step2: Identify corresponding angles
In triangle (BCD) and triangle (LKJ), (\angle C) in (\triangle BCD) corresponds to (\angle J) in (\triangle LKJ).
Step3: Find (\angle C)
In (\triangle BCD), using the angle - sum property of a triangle ((\angle B+\angle C+\angle D = 180^{\circ})), we know (\angle B = 45^{\circ}), (\angle D=60^{\circ}). So (\angle C=180^{\circ}-(45^{\circ} + 60^{\circ})=75^{\circ}).
Answer:
(75)