126,997 views
23 votes
23 votes
What is the measure of angle C

What is the measure of angle C-example-1
User Tomer S
by
2.7k points

1 Answer

11 votes
11 votes

Answer:

41

Explanation:

In order to find the measure of angle C we must find the value of x

Remember the measures of the angles in a triangle add up to equal 180

that being said we use this equation to solve for x

180 = (sum of angles) 63 + 2x + 8 + x + 7

now we solve

step 1 combine like terms

63 + 7 + 8 = 78

2x + x = 3x

now we have 180 = 78 + 3x

step 2 subtract 78 from each side

180 - 78 = 102

78 - 78 cancels out

now we have 102 = 3x

step 3 divide each side by 3x

102/3=34

3x/3=x

we're left with x = 34

Now to find the measure of angle C

We plug in the value of x in the expression (x + 7)

so c = 34 + 7

34 + 7 = 41

therefore your answer is 41

User Viswanath Polaki
by
2.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.