If two angles of a triangle add up to 110°
, what is the measure of the third angle?
The sum of all angles of a triangle is always 180°.
Let's denote the measure of the third angle as x.
According to the given information, we have:
x + 110° = 180°
We can now solve for x:
x + 110° - 110° = 180° - 110°
x = 70°
Therefore, the measure of the third angle is 70°.
To find the measure of the third angle, we need to subtract the sum of the two given angles from 180° (because the sum of all angles in a triangle is 180°).
Let's call the measure of the third angle "x".
Given:
Two angles add up to 110°.
Step 1: Set up an equation
The sum of the two given angles is 110°.
Let's call these angles A and B.
So, A + B = 110°.
Step 2: Solve for the third angle
The sum of all three angles in a triangle is 180°.
So, A + B + x = 180°.
Now, substitute the value of the sum of the two given angles into the equation:
110° + x = 180°.
Step 3: Solve for x
To isolate x on one side of the equation, we subtract 110° from both sides:
110° + x - 110° = 180° - 110°.
x = 70°.
Therefore, the measure of the third angle is 70°.
To find the measure of the third angle in a triangle, we need to know that the sum of all three angles in a triangle is always 180 degrees.
In this case, we are given that two angles of the triangle add up to 110 degrees. Let's call one of the angles x and the other angle y. So we have the equation:
x + y = 110°
To find the measure of the third angle, let's call it z, we can rearrange the equation:
x + y + z = 180°
Now we can substitute the value of x + y from the first equation into the second equation:
110 + z = 180°
To solve for z, we can subtract 110 from both sides of the equation:
z = 180° - 110°
z = 70°
Therefore, the measure of the third angle in this triangle is 70 degrees.