if mPTQ = 3y - 10 and mQTR = y, find y so that PTR is a right angle.
To find the value of y that makes angle PTR a right angle, we can first determine the relationship between the angles in triangle PTR.
In a triangle, the sum of the interior angles is always 180 degrees. Therefore, we can set up the equation:
mPTQ + mQTR + mPTR = 180
Given that mPTQ = 3y - 10 and mQTR = y, we can substitute these values into the equation:
(3y - 10) + y + mPTR = 180
Now we can solve for the value of y.
To find y so that PTR is a right angle, we need to use the properties of right angles.
First, let's start by finding the value of y using the given information.
We are given that mPTQ = 3y - 10 and mQTR = y. Since PTR is a right angle, the sum of angles PTQ and QTR must equal 90 degrees.
We can set up an equation based on this information:
mPTQ + mQTR = 90
Substituting the given values, we get:
(3y - 10) + y = 90
Now, let's solve this equation to find the value of y:
4y - 10 = 90
Adding 10 to both sides:
4y = 100
Dividing both sides by 4:
y = 25
Therefore, the value of y that makes PTR a right angle is 25.
insufficient information.
What type of figure are you talking about?