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Can you please help me with this? Problem is in the picture.

Can you please help me with this? Problem is in the picture.-example-1
User Tony Arra
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1 Answer

2 votes

Answer:

x = 35

∠R = 35°

∠P = 20°

∠Q = 125°

Explanation:

The 3 angles in a triangle is always equal to 180 degrees.

Find the variable:

So, to find the variable, you must add all the angles together.

x + (x - 15) + (3x + 20) = 180

You can remove the parenthesis and combine variables.

x + x - 15 + 3x + 20 = 180

5x + 5 = 180

Now subtract 5 from both sides so 5x is alone.

5x = 175

Then, divide both sides by 5 so x is alone.

x = 35

To find the measures of the angles:

We know that x is equal to 35 degrees, so we can factor that into the angles.

Angle R is equal to x, so we know that is 35 degrees.

Angle P is equal to (x - 15), so we can factor the 35 degrees into the equation.

Angle P = 35 - 15 = 20 degrees

Lastly, angle Q is equal to (3x + 20), meaning we multiply 35 by 3, then add 20.

3(35) + 20

105 + 20

Angle Q = 125 degrees

You can check this by adding all the angles together and seeing if it equals 180.

35 + 20 + 125 = 180

180 = 180

Hope this helps!

User Kerstomaat
by
8.6k points

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