Answer:6
Step-by-step explanation:
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Answer:
Step-by-step explanation:
<h3>Solution 1</h3>
The both triangles are marked as isosceles.
The bottom triangle
<u>Missing angles are same:</u>
- 1/2(180 - x - 85) = 1/2(95 - x)
The top triangle
The equal angles measure 38° as one of them is vertically opposite to 38° angle.
On the other hand same angle is complementary with the one we found above (together forming a right angle).
<u>So we have:</u>
- 1/2(95 - x) + 38 = 90
- 1/2(95 - x) = 52
- 95 - x = 104
- x = 95 - 104
- x = - 9
<h3>Solution 2</h3>
The angle 2 is the exterior angle of the top triangle.
The non-adjacent interior angles are equal to each other and same as vertical angle of the top vertex, 38°.
<u>Also we have:</u>
<u>Compare and solve for x:</u>
- x + 85 = 76
- x = 76 - 85
- x = -9
Answer:
x =42
q = 135°
p + q + r = 225°
Step-by-step explanation:
a)
Since, AB and BC are perpendicular lines.
b) (i)
Since, CD and EF are parallel lines and AB is a straight line.