Question

In the given figure, if angle ACD = 124°, angle ABC = 36°, then angle BAC = ?​

Answer 1

Answer:

∠ BAC = 88°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ACD is an exterior angle of the triangle , then

∠ ABC + ∠ BAC = ∠ ACD , that is

36° + ∠ BAC = 124° ( subtract 36° from both sides )

∠ BAC = 88°

Answer 2

Step-by-step explanation:

Given:

• angle ACD = 124° and
• angle ABC = 36°

To find:

the measure of angle BAC = ?

Solution:

Ext. angle ACD = Angle ABC + angle BAC

since 124° = 36° + angle BAC

=> Angle BAC = 124° - 36°

=> Angle BAC = 88°

Hence, the measure of angle BAC is 88°.

Hope this helps.