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What are the measures of Angles a, b, and c? Show your work and explain your answers. Two straight lines intersect at a point to form angle a. The measure of the angle opposite to angle a is 35 degrees. Angle a is the angle of a right triangle having another angle equal to b. A triangle with one angle labeled c is on the left of the figure. The angle adjacent to c is labeled 70 degrees.

Respuesta :

Measures of angle a = 35degrees , b= 55degrees and c= 110 degrees for the given condition intersecting lines and right triangle.

What is right triangle?

" Right triangle is defined as 2dimensional closed figure with three sides , three vertices and three angles enclosed in it, with one of the angle measure equals to 90 degrees."

According to the question,

Two straight lines are intersecting at one point,

2pairs of congruent vertically opposite angles .

As per given condition,

Measure of the angle opposite to angle a = 35degrees

Therefore measure of angle a = 35degrees

In right triangle,

Angle a and angle b are two pairs of angles different from 90°.

Measure of angle b = 180 - (90 + 35)

                                 = 55degrees

Angle adjacent to c is labeled 70 degrees.

Therefore,

Angle c + 70 = 180

Measure of angle c = 180 - 70

                                = 110degrees

Hence, measures of angle a = 35degrees , b= 55degrees and c= 110 degrees for the given condition intersecting lines and right triangle.

Learn more about right triangle here

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