Answer:
The measures of ∠BOC is 25.4° and that of ∠AOB is 15.8°.
Step-by-step explanation:
Given that,
∠AOC = 31°
∠BOC = 2x+10
∠AOB = 4x-15
As we can seen from the figure that,
∠AOC = ∠AOB + ∠BOC
Put all the values,
31 = 4x-15+2x+10
31 = 6x-15
31+15 = 6x
46 = 6x
x = 7.7
∠BOC = 2(7.7)+10 = 25.4°
∠AOB = 4(7.7)-15 = 15.8°
So, the measures of ∠BOC is 25.4° and that of ∠AOB is 15.8°.
Answer:
360
Step-by-step explanation:
60 divided by 15=4
90 x 4 =360
Answer:
<h2>x=68</h2>
Basic fact:
<em>angles in a triangle add up to make 180 degrees</em>
Step-by-step explanation:
we know that
72+40+x=180
112+x=180
-112
x=68
Answer:65
Step-by-step explanation:
Answer:
Step-by-step explanation:
Remark
A right triangle with one other angle = 45 degrees is isosceles (two sides are equal). So the bottom line of the square is also s
Formula
s^2 + s^2 = 20^2 Add the terms on the left. Square the right.
Solution
2s^2 = 400 Divide by 2
2s^2/2 = 400/2 Simplify
s^2 = 200 Take the square root of both sides.
Answer
sqrt(s^2) = sqrt(200)
s = 14.1 or s = 10*sqrt(2)