Question

7. If in a rhombus ABCD, ZABC=64°,
Then the measure of ZACD is​

Answer 1

Answer:

52°

Step-by-step explanation:

let us consider AB is one of the diagonal.... then then the angles A & B bisect each other.

as we know that

sum of the angles = 360°

angle A + angle B + angle C + angle D = 360°

so.

.. (64° + 64°) + (64° + 64°) + x + x = 360°

128° + 128° + 2x = 360°

256° + 2x = 360°

that implies... 2x= 360°-256°

2x= 104°

x=52°

there fore angle C = 52° and angle D = 52°.