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Answer:
(a) x = 22
(b) 46°
(c) 44°
(d) 180°
Step-by-step explanation:
Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.
<h3>(a) </h3>
The sum of the marked acute angles is 90°.
2x +(3x -20) = 90
5x = 110 . . . . . . . . . . add 20, collect terms
x = 22 . . . . . . . . . divide by 5
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<h3>(b) </h3>
∠CBA = (3x -20)° = (3·22 -20)° = 46°
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<h3>(c)</h3>
∠CAB = 2x° = 2(22)° = 44°
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<h3>(d)</h3>
The sum of a triangle's interior angles is 180°.
