The sum of the measures of the interior angles of a triangle is 180^(∘).
A
x=8^(∘), see solution.
B
x=20^(∘), see solution.
C
x=20^(∘), see solution.
D
x=60^(∘), see solution.
Practice makes perfect
Let's consider the given diagram.
We want to find the value of x. Notice that the 6x angle and the 4x+10^(∘) angle form a right angle. This means that the sum of their measures is 90^(∘). We can use this information to write an equation.
6x + (4x+10^(∘)) = 90^(∘)
Now we can solve this equation for x using the properties of equality. Let's ignore the degree symbol to make the math easier.
We are asked to find the value of x. Notice that the 5x+13^(∘) angle and the 3x+7^(∘) angle form a straight angle, which means that the sum of their measures is 180^(∘). With this in mind, let's write an equation.
(5x+13^(∘)) + (3x+7^(∘)) = 180^(∘)
Now we can solve this equation for x. Again, let's ignore the degree symbol to make the math easier.
With this rule, we can write an equation connecting the measures of the angles of our triangle.
(3x + 5^(∘))+ (2x + 18^(∘))+ (2x + 17^(∘))=180^(∘)
Let's solve the equation and find the value of x.
Again, we can find the value of x by writing an equation connecting the measures of the angles of the triangle.
x+ 30^(∘)+ 90^(∘)=180^(∘)
Let's solve the equation.
