Question

 

In a triangle, the sum of the interior angles is 180^o.  Find the measure of angle x, if angle y = 43^o and angle z = 67^o. 

A.  Write the algebraic equation using the information above. (5 points)

B.  Solve the equation.  Show all work. (10 points)

C.  What is the measure of angle x?  Make sure to label your answer. (5 points)

Answer 1

x + y + z = 180

x + 43 + 67 = 180

x + 110 = 180

x = 180 - 110

x = 70 degree

Answer 2

70 is the number

Answer 3

A. Write the algebraic equation using the information above.

Angle x = x
Angle y = 43 degrees
Angle z = 67 degrees
In total they equal 180 degrees, so we will set up the equation
x + 43 + 67 = 180

B. Solve the equation. Show all work.

x + 43 + 67 = 180 -- combine like terms
x + 110 = 180 -- subtract 110 from both sides
x = 180 - 110 -- combine like terms
x = 70

Now we can check our answer...
angle x + angle y + angle z = 180
70 + 43 + 67 = 180
180 = 180 (correct)

C. What is the measure of the angle x? Make sure to label your answer.

Angle x = 70 degrees

The angle x is equal to seventy degrees.

 

Hope this helps!