Assuming the spaces mean plus (+):
2(3y+5) = 3(5y+13)
6y+10 = 15y+39
10 = 9y+39
9y = -29
Therefore, y = -29/9 or -3.22
Answer = 0.5
hope this helps
Since the lengths of the segments AD=PD are equal that means that the triangle is an isosceles triangle. This also means that the angles A and P (in the triangle) are equal.
This also means that the angle P' (the one inside the quadrilateral) is equal to:
Now, if we extend the sides DP and CB we notice that the angles P' and Q
are equal
The only way that this angles can be equal is if the line segments DP and CB are parallel, this comes from the fact that two alternate interior angles are equal if and only if the lines are parallel.
Answer:
111°
Step-by-step explanation:
- All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.
- Ignore the line cutting between 45° and the 30° and consider it as one triangle
- Add them to get 75°
- Now you have two known angles 75° and 36°
- To get angle <em>x</em><em> </em>add 75° and 36° to get 111°
- Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.
Answer:
b
Step-by-step explanation: