In δabc, m∠a = 40°, m∠b = 60°. find m∠c. (hint: draw the auxiliary line bd parallel to the line segment ac and take a look at the same side and the alternate interior angles)

The measure of angle C is 80 degree.

Step-by-step explanation:

Given information: In ΔABC, ∠A = 40° and ∠B = 60°.

Draw the auxiliary line BD parallel to the line segment AC.

If a transversal line intersects the pair of parallel line, then the alternate interior angles are same.

The angle 1 and 2 are alternate interior angles of angle A and B respectively. Therefore angle 1 is equal to angle A and angle 2 is equal to angle C.

Angle 1,2 and B are supplementary angles because they lie on a straight line, therefore their sum is 180 degree.

The angle sum property is another way to solve this problem.

According to the angle sum property, the sum of interior angles of a triangle is 180 degree.

Therefore the measure of angle C is 80 degree.

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

135 is your answer

step-by-step explanation:

try 180 times three then divide that number by 4 (sides) to get your answer. im glad to : )