In rhombus ABCD, angle A = 142 degrees. Find the value of the angle adjacent to the inner angle B.
September 25, 2021 | education
| Since, by the property of a rhombus, two adjacent angles add up to 180 °, and in this rhombus ABCD ∠A = 142 °, then:
∠A + ∠В = 180 °;
142 ° + ∠В = 180 °;
∠В = 180 ° – 142 °;
∠В = 38 °.
The sum of adjacent angles is 180 °. Since the inner angle of the rhombus ABCD ∠В = 38 °, the outer angle, which is adjacent to the inner ∠В, is equal to 142 °.
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