Question

Two adjacent angles of a rhombus are in the ratio 2:3. Find the measure of all the angles Please help me with this question.

Answer 1

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Answer 2

Answer:

A = 72°, B = 108°, C = 72°, D = 108°

Step-by-step explanation:

sum of adjacent angle in a rhombus is 180°

ratio of adjacent angle is 2 : 3

Let the 4 angles be A, B, C, D

A + B = 180°

A = 180 × 2/5

= 36 × 2

= 72°

B = 180 × 3/5

= 36 × 3

= 108°

A = C -> opp angles of rhombus are equal

B = D -> opp angles of rhombus are equal

therefore the angels are

A = 72°, B = 108°, C = 72°, D = 108°

Hope you get your answer