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5. What is the measure of angle q?

180
70
90
110

5. What is the measure of angle q? 180 70 90 110-example-1
User Yasmina
by
8.4k points

1 Answer

2 votes

Answer:

The answer that you are looking for is 70º

Explanation:

Usually, in three-sided figures, there is a total of 3 angles all adding up to 180º.

So in turn, since most quadrilaterals are made up of 2 triangles all the sides have to equal to 360º.

We can use the equation 360 = 110×2+q2

To find the value of q.

The First step to do is to simplify all terms with 110×2 being equal to 220 and q2 staying the same.

We then use the opposite symbol to remove 220 leaving q2 by itself while 360 is subtracted by 220 and turned into 140.

The only thing left to do is to do the opposite operation of multiplying, which is dividing and dividing both sides by 2 leaving q = 70.

You can find the equation below:
360 = 110×2+q2
360 = 220 + q2
-220 = -220 + q2
140 = q2
÷2 = ÷2
70 = q

I hope this was helpful!

User Johnny Mnemonic
by
7.7k points