Answer:
give me brainliest
Step-by-step explanation:
Answer:
85°
Step-by-step explanation:
So in geometry, the formula to find the <u>sum of all interior angles</u> is denoted as follows:
<em>n</em> = number of sides in the polygon
( <em>n</em> - 2 ) × 180° = sum of the interior angles
Using that formula, a triangle has 3 sides, so
<em>n</em> = 3 , therefore:
= ( 3 - 2 ) × 180°
= 1 × 180°
= 180°
Since the total sum of the interior angles of a triangle all have to add up to 180°, you can create the following equation and solve:
34° + 61° + <em>x</em> = 180°
Solve for x.
8x + 6 - 2x = 34x
Simplify 8x +6 - 2x to 6x + 6:
6x + 6 = 34x
Subtract 6x from both sides:
6 = 34x- 6x
Simplify 34x - 6x to 28x:
6 = 28x
Divide both sides by 28:
= x
Simplify
to
:
= x
Now switch sides and the answer is:
x =
:) <3
First you need to convert 1 1/3 into an improper fraction by multiplying 1 by 3, and then adding 1 to get 4/3. 13 can be written a 13/1, and the rule for fractions is to multiply across, so you get 13/1 × 4/3, which equals 52/3. This can't be simplified down, but it can be rewritten as a mixed number of 17 1/3. I hope this helps!
It would be 30 degrees or π/6 Radians