Answer:
x = 73°
Step-by-step explanation:
a whole circle = 360°
so x + 50° + 91° + 2x = 360°
x+ 2x = 360°- 91° - 50°
3x = 219°
x = 219° ÷ 3
x = 73°
<h2>HOPE THIS HELP YOU!!! ;))))</h2>
In order to solve these you first need a ratio.
From what we can tell, the ration from LEFT to RIGHT is:
2:3
Therefore, in order to have a 2:3 ratio, we need 5 parts total (2 parts on left + 3 parts on right = 5 total parts!)
A) 60
B) 90
Answer: check the photo
Step-by-step explanation: im taking the test rn
m∠HKF = 87°
Solution:
Given data:
m(ar JF) = 135° and m(ar GH) = 42°
GJ is the diameter of the circle.
<em>Angle in a diameter is 180°.</em>
⇒ m(ar JF) + m(ar FG) = 180°
⇒ 135° + m(ar FG) = 180°
Subtract 135° from both sides of the equation.
⇒ m(ar FG) = 45°
⇒ m(ar FGH) = m(ar FG) + m(ar GH)
⇒ m(ar FGH)= 45° + 42°
⇒ m(ar FGH) = 87°
<em>The measure of the central angle is congruent to the measure of the intercepted arc.</em>
⇒ m∠HKF = m(ar FGH)
⇒ m∠HKF = 87°