Question

In the rhombus ABCD, ĐDAE = 30°. Which is ĐABC?

309
D
C
A.
30°
OB.
60°
c.
120°
OD.
150°

Answer 1

C 120’ is the answer

Answer 2

C. 120 deg

Explanation:

All sides of a rhombus are congruent.

That means that triangle ADC is an isosceles triangle with AD = CD, so angles DAE and DCE are congruent.

m<DAE + m<DCE + m<ADC = 180

30 + 30 + m<ADC = 180

m<ADC = 120

Opposite angles of a rhombus are congruent, so

m<ABC = m<ADC = 120