Question

If the angle B=149°, angle C=86° and angle D=43°, how many degrees is angle A?

Answer 1

Answer: 82°

Explanation:

To find the measure of angle A, we can use the fact that the sum of the angles in a quadrilateral is 360 degrees. Therefore:

A + B + C + D = 360

Substituting the given values, we get:

A + 149° + 86° + 43° = 360°

Combining like terms, we get:

A + 278° = 360°

Subtracting 278° from both sides, we get:

A = 82°

Therefore, angle A measures 82 degrees.