Undefined terms; assumptions (postulates); definitions; theorems
Let's begin noting that a triangle is isosceles if and only if two of its angles are congruent. We can thus find the angle <ABP, recalling that the sum of the interior angles of a triangle is equal to 180°.

Finally, let point K be the intersection between segments BC and PQ, and let's note that the triangle PQB is a right isosceles triangle, since all the angles in a square are equal to 90°, and the two triangles APB and BQC are congruent.
Therefore, the angle BKQ is equal to 180-50-45=85°.
Of course angle BKP=180-85=95°.
Hope this helps :)
Hello! So Brittany plans to sell car magnets that she purchased at $7.50 and mark them up by 30%. To find the new price, we can multiply 7.50 * 1.30. When multiplied, it gives us 9.75. Brittany is planning to charge $9.75 for the car magnets.
First, we should add 1 to both sides to isolate the variable:
3x = 12
Now that x is isolated, we divide by 3:
x = 4
Answer:
x = 8
Step-by-step explanation:
3(x-5)+6x = 3x-15+7x
3x-15+7x = 65
10x = 80
x = 8