Find x in the figure
A triangle has 2 angles. 35 and 40.
y is unknown
x is unknown
Determine the value of x if the angle has to add to 180°
In a triangle, the total sum of all angles is 180 degrees.
So, if you have 2 angles of 35 and 40 degrees, then you can find the third angle by subtracting the given angles from 180.
180 - 35 - 40 = 105 degrees.
So, x = 105 degrees.
To find the value of x, we need to determine the measure of the third angle of the triangle using the given angle measures of 35° and 40°.
We know that the sum of the angles in a triangle is 180°.
Let's assume that the third angle measure is y.
Therefore, we can write the equation: 35° + 40° + y = 180°.
To find y, we'll isolate it on one side of the equation by subtracting 35° and 40° from both sides:
y = 180° - 35° - 40°.
Simplifying the right side of the equation:
y = 180° - 75°.
Calculating:
y = 105°.
So, the value of y is 105°.
To find x, we can use the fact that the sum of the angles in a triangle is 180°:
x + 35° + 105° = 180°.
Simplifying the equation:
x + 140° = 180°.
To isolate x, we'll subtract 140° from both sides:
x = 180° - 140°.
Calculating:
x = 40°.
Therefore, the value of x is 40°.
To find the value of x, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.
Given that two angles of the triangle are 35 degrees and 40 degrees, let's denote the third angle as x.
To find the value of x, we can use the equation:
35 + 40 + x = 180
We can simplify this equation by adding the known angles:
75 + x = 180
Next, let's isolate x by subtracting 75 from both sides of the equation:
x = 180 - 75
Calculating the right side of the equation:
x = 105
Therefore, the value of x is 105 degrees.