The diagonal AC of the parallelogram ABCD makes angles equal to 30 and 35 degrees with its sides.
| September 9, 2021 | education
The diagonal AC of the parallelogram ABCD makes angles equal to 30 and 35 degrees with its sides. Find the larger angle of the parallelogram.
To find out the value of the larger angle in the parallelogram under consideration, we use the formula (we use the parallelogram property): 180º = ∠A + ∠B = (∠BAC + ∠CAD) + ∠B, from where we express: ∠B = 180º – (∠BAC + ∠CAD ).
Data: ∠BAC – the first formed corner (∠BAC = 30º); ∠CAD – the second formed corner (∠CAD = 35º).
Let’s calculate: ∠B = 180º – (∠BAC + ∠CAD) = 180º – (30º + 35º) = 115º.
Answer: The larger angle in the parallelogram under consideration is 115º.
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