Geoffrey draws a triangle. One of the angles measures 75° and one of the angles measures 40°.
What is the measure of the third angle?
A. 180°
B. 115°
C. 105°
D. 65°
C. 105°
75 + 40 + x = 180
115 + x = 180
x = 105
yikes, "answered" did it !
To find the measure of the third angle in a triangle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Let's calculate the measure of the third angle:
The given angle measures are:
Angle 1 = 75°
Angle 2 = 40°
To find the measure of the third angle, we can subtract the sum of the two given angles from 180°:
180° - (Angle 1 + Angle 2) = 180° - (75° + 40°)
= 180° - 115°
= 65°
Therefore, the measure of the third angle is 65°.
Answer: D. 65°
To find the measure of the third angle of a triangle, you can use the fact that the sum of the angles in any triangle is always 180°.
In this case, you are given that one of the angles measures 75° and another angle measures 40°.
To find the measure of the third angle, you can subtract the sum of these two given angles from 180°:
Third angle = 180° - (75° + 40°) = 180° - 115° = 65°
Therefore, the measure of the third angle is 65°, which corresponds to option D.