Answer:
<em>B. 86 degrees</em>
Step-by-step explanation:
Given the following angles
m∠NOP = 24
m∠NOQ = 110
Required
m∠POQ
The following addition postulate is true for the angles
m∠NOQ = m∠NOP + m∠POQ
m∠POQ = m∠NOQ -m∠NOP
Substitute the angles given into the formula:
m∠POQ = 110 - 24
m∠POQ = 86°
<em>Hence the measure of angle POQ is 86 degrees</em>
Answer:
Step-by-step explanation:
Given Equation :

Using distribute property:

Adding the like terms we get :


Transposing the variables on the right side and constant terms on the left side :


Dividing both sides by 5 :


The value of x in the figure is 125°
And the right option is (D) 125°
To solve the problem, we use the formular for the sum of the interior angle of a polygon.
(n-2)180°
- When a vertical line is drawn to touch point Q and S, it becomes a pentagon.
- Pentagon: A pentagon is a polygon with 5 sides
- The sum of the angle in a pentagon is

∠P+∠T+∠R+∠Q+∠S = 540°




Hence the value of x in the figure is 125°
And the right option is (D) 125°
Learn more about polygons here: brainly.com/question/17042929
Answer:
x =4.5
Step-by-step explanation:
this is an isosceles triangle
the legs are equal
4x + 6 = 6x - 3
subtract 6 from both sides
4x +6 - 6 =6x - 3 - 6
4x = 6x - 9
subtract 6x from both sides
4x -6x = 6x - 6x -9
-2x = -9
divide both sides by -2
-2x /-2= -9/-2
x =4.5