The measure of angle JKL is 85°.%0D%0AThe measure of angle JKM is 30°.%0D%0AThe measure of angle MKL is x°.%0D%0AFind the value of x.
To find the value of x, we can use the fact that the sum of the angles of a triangle is 180 degrees.
From the given information, we have:
angle JKL = 85°
angle JKM = 30°
Using the fact that the sum of the angles of a triangle is 180 degrees, we can write the equation:
angle JKL + angle JKM + angle MKL = 180°
Substituting the given values, we have:
85° + 30° + x° = 180°
Combine like terms:
115° + x° = 180°
Subtract 115° from both sides of the equation:
x° = 180° - 115°
Simplify:
x° = 65°
So the value of x is 65 degrees.
you sure
Yes, my previous response is correct. The value of x is indeed 65 degrees. This can be determined by using the fact that the sum of the angles of a triangle is 180 degrees and substituting the given angle measures into the equation.
To find the value of angle MKL (x°), we can use the fact that the sum of angles in a triangle is 180°.
In triangle JKL, we know that angle JKL is 85° and angle JKM is 30°. Adding these two angles together gives us:
85° + 30° = 115°
So far, the sum of the two angles is 115°.
Since the sum of the angles in a triangle is 180°, we can write the following equation:
Angle JKL + Angle JKM + Angle MKL = 180°
Substituting the known values, we get:
85° + 30° + x° = 180°
Combining like terms, we find:
115° + x° = 180°
To isolate x, we subtract 115° from both sides:
x° = 180° - 115°
x° = 65°
Therefore, the value of angle MKL, x°, is 65°.