Answer:
x= 55 degrees
w = 5
Step-by-step explanation:
Triangle PQR contains two triangles, QPS and PSR.
Looking at triangle QPS, it is an isosceles triangle. This is shown by the two short lines that cuts line QP and line QS.
In an isosceles triangle, two sides and two angles are equal. The two equal angles are the base angles.
Therefore,
angle P and angle S are equal. Also
Line QP and line PS are equal. This means
6w - 10 = w
6w-w = 10
5w = 10
w = 10/2 = 5
Angle Q + 100 degrees = 180 ( sum of angles on a straight line)
Angle Q = 180 - 100 = 80 degrees
Angle Q = Angle S(base angles of an isosceles triangle)
Angle PSR = 180 - 80 = 100 degrees( sum of angles on a straight line is 180)
Angle PSR + x + 25 = 180
x = 180 - 25 - 100 = 55 degrees
Answer:
52.85 rounded at nearest one is 53
Step-by-step explanation:
Step-by-step explanation:
hope you can understand
Answer:
Value of x --> 15°
<u>Step-by-step explanation:</u>
(2x + 60°) and 6x lie on a straight line. So, they form a linear pair. Their sum gives 180°.
---> (2x + 60°) + 6x = 180°
2x + 60° + 6x = 180°
8x + 60° = 180°
8x = 180°- 60°
8x = 120
x = 
<h3><u>x equals 15°</u></h3>