The sum of the measures of angles m and angle l is 116 degrees.
The measure of angle m is 50 degrees
The measure of angle l is (7x - 4) degrees
What is the value of x?
10
12
15
20
To find the value of x, we can set up an equation using the information given.
The sum of the measures of angles m and l is 116 degrees, so we have the equation:
m + l = 116
Given that m is 50 degrees and the measure of angle l is (7x - 4) degrees, we can substitute these values into the equation:
50 + (7x - 4) = 116
Simplifying this equation, we get:
7x + 46 = 116
Subtracting 46 from both sides, we have:
7x = 70
Finally, dividing both sides by 7, we find the value of x:
x = 10
Therefore, the value of x is 10.
Find the measure for <MQR
70-2b on left and 28 + 5b on right
To find the measure of angle <MQR, we need to find the value of b first.
We're given the following information:
The measure of the angle on the left of <MQR is 70 - 2b degrees.
The measure of the angle on the right of <MQR is 28 + 5b degrees.
Since the sum of the angles in a triangle is 180 degrees, we can set up the equation:
(70 - 2b) + <MQR + (28 + 5b) = 180
Simplifying this equation, we have:
98 + 3b + <MQR = 180
Now, we can subtract 98 from both sides to isolate <MQR:
3b + <MQR = 82
To find the measure of angle <MQR, we need to know the value of b. If b is given, we can substitute that value into the equation to find the measure of <MQR.
58
60
62
64
To find the measure of angle <MQR, we can substitute the value of b as given.
If b is 58, we can substitute b = 58 into the equation:
3(58) + <MQR = 82
Simplifying this equation, we have:
174 + <MQR = 82
Subtracting 174 from both sides, we get:
<MQR = -92
Since angles cannot have negative measures, this solution is not valid.
Therefore, it seems there might be a mistake in the given information. Please double-check the values provided for the measures of the angles on the left and right of angle <MQR.
5x degrees and (3x + 10) degrees
Find the measure
To find the measure of angle <MQR, we can substitute the given expressions for the measures of the angles on the left and right of angle <MQR.
The measure of the angle on the left of <MQR is 5x degrees.
The measure of the angle on the right of <MQR is (3x + 10) degrees.
Since the sum of the angles in a triangle is 180 degrees, we can set up the equation:
(5x) + <MQR + (3x + 10) = 180
Simplifying this equation, we have:
8x + <MQR + 10 = 180
Now, we can subtract 10 from both sides to isolate <MQR:
8x + <MQR = 170
To find the measure of angle <MQR, we need to know the value of x. If x is given, we can substitute that value into the equation to find the measure of <MQR.
25
65
115
135
155
To find the measure of angle <MQR, we can substitute the value of x as given.
If x is 25, we can substitute x = 25 into the equation:
8(25) + <MQR = 170
Simplifying this equation, we have:
200 + <MQR = 170
Subtracting 200 from both sides, we get:
<MQR = -30
Again, angles cannot have negative measures, so this solution is not valid.
It appears there might be a mistake in the given information. Please double-check the values provided for the measures of the angles on the left and right of angle <MQR.