In an isosceles triangle ABC, the angle C = 104 degrees AM is the height of the triangle. Find the angle MAB.
| September 22, 2021 | education
△ ABC – isosceles with base AB and obtuse <C = 104 °.
The angles at the base are (180 ° – 104 °) / 2 = 38 °.
The height AM drawn to side BC lies outside the triangle.
Consider △ AMC – rectangular (<M = 90 °).
<MAB + <ABM = 90 ° (acute rectangular corners △ -ka).
<ABM = 38 ° – common for △ ABC and △ AMC.
<MAB = 90 ° – <ABM = 90 ° – 38 ° = 52 °.
Answer: <MAB = 52 °.
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