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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 30 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 75 degrees.

Sagot :

dudleycierra024

Answer: The measure of angle a is 35 degrees, b is 55 degrees and c is 110 degrees.

Step-by-step explanation:

Angles a and 35 are vertical angles and vertical angles are equal.

<a = 35

We have a triangle with a, b, and a right angle.  

Triangles have angles that add to 180.

<a + <b + 90 = 180

35 + <b + 90 =180

125 + < b = 180

<b = 180-125

<b = 55

Angle c and 70 form a straight line and straight lines are 180 degrees.

<c+70 = 180

<c = 180-70

<c = 110

Hence, the measure of angle a is 35 degrees, b is 55 degrees and c is 110 degrees.

-Hope this helps<3

lhmarianateixeira

In this exercise we have to use the knowledge of angles to calculate the values ​​for each unknown, like this:

A is 35 degrees

B is 55 degrees

C is 110 degrees.

What are the interior angles of the triangle?

The angles of a triangle are defined on account of its sides, from this froem we always have that the sum of all the interior angles of a triangle will be 180 degrees.

In this way, we have that to calculate the angles we will equal the value of the sum of all angles which is equal to:

[tex]a + b + 90 = 180\\35 + b + 90 =180\\125 + b = 180\\b = 180-125\\b = 55[/tex]

Now to calculate the angle of c we find that:

[tex]c+70 = 180\\c = 180-70\\c = 110[/tex]

See more about angles at brainly.com/question/15767203

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