Question

In the adjoining figure, ABCD is a rhombus.
Find the measure of the following angles, if ACB = 30° :
(i) BOC
(ii) CBO
(3) OAD
(iv) ABO


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Answer 1

Answer:

1. BOC =90°
2. CBO=60°
3. OAD =30°
4. ABO=60°

Step-by-step explanation:

1. In a Rhombus , Diagonal interest each other equally by 90°. So,BOC=90°

2. In triangle COB,

COB+CBO+BCO =180

90°+CBO+30°= 180°

120°+CBO =180°

CBO=60°

3. By alternate angle prop.

As AD is parallel to BC

OAD =30°

4. Similarly as in 2.

so ABO = 60°