Question

Triangle A B C. Point D extends from side A B. Angle A is 35 degrees, angle B is 90 degrees, and angle C is x degrees. Exterior angle D A C is y degrees.

Consider triangle ABC with exterior angle ∠DAC. Find the missing angle measures

Answer 1

Angle C=55 degrees

Angle DAC= 35 degrees

Explanation:

To find angle c you have to add angle a and b that is 35 and 90 degrees.

As you know the total angle in a triangle is 180 degrees.

subtract the above sum from 180 to find the angle c that is 180 - 125 which equals 55 degrees.

To find angle DAC you have to imagine an adjacent triangle to the triangle ABC. since they will form the similar triangle the measurement will be same as of angle A that is 35 degrees.

Answer 2

x= 55 degrees

y= 145 degrees

just did it on edge