One angle of a triangle measures more than the second. The measure of the third angle is twice the sum of the first two angles. What is the measure of each angle?

Step-by-step explanation:

Let

x ----> the measure of one angle of the triangle

y ---> the measure of the second angle

z ----> the measure of the third angle

we know that

The sum of the measure of the interior angles in any triangle must be equal to 180 degrees

-----> equation A

One angle of a triangle measures  10 degrees more than the second

----> equation B

The measure of the third angle is twice the sum of the first two angles

---> equation C

substitute equation B in equation C

----> equation D

substitute equation D and equation B in equation A

solve for y

Find the value of x

Find the value of z

therefore

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.