Beam AB divides right angle CAE into two angles so that BAE is 0.4 of CAE. Find the degree CAB.
| January 10, 2021 | education
The CAE angle is a right angle, so its degree measure is 90 °.
∠САЕ = 90 °.
Hence, based on the condition of the task, the equality will be true:
∠САЕ = ∠САВ + ∠ВАЕ;
90 ° = ∠CAB + 0.4 * 90 °;
90 ° = ∠CAB + 36 °;
∠САВ = 90 ° – 36 °;
∠CAB = 54 °.
Answer: degree measure ∠CAB 54 °.
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