In triangle ABC, height AD, angle DAC = 50 °, angle B = 63 °. Find angle A and angle C.
| July 13, 2021 | education
Since AD is height, it forms a right-angled triangle DAC.
Let’s consider it. DAC angle + C angle = 90 ° means C angle = 90 ° – DAC angle = 90 ° – 50 ° = 40 °.
The angles in a triangle add up to 180 °. From this we find that angle A = 180 ° – angle C – angle B = 180 ° – 40 ° – 63 ° = 77 °.
Answer: angle A = 77 °, angle C = 40 °.
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