I believe that would be b
Since the congruent operator is ≅ and since AD is congruent to BD, I'm going to assume that you want to prove that AD is congruent to BD.
1. DE is equal to CD by definition since D is the midpoint of CE.
2. AE is equal to BC since opposite sides of a rectangle are equal to each other.
3. Angle AEC is equal to Angle BCE since all angles in a rectangle are right angles and all right angles are equal to each other.
4. Triangles ADE and BDC are congruent to each other because we have SAS congruence for both triangles.
5. AD is congruent to BC since they're corresponding sides of congruent triangles.
the that you are looking for is b
The slope is 3
the y intercept is -4
Answer:
b = 55°
Step-by-step explanation:
Angles around a point will always add up to 360°
Therefore, we can write an expression where we sum the 3 angles given and equate them to 360°:
(b - 15) + 3b + (2b + 45) = 360
eliminate the brackets and collect like terms:
b + 3b + 2b - 15 + 45 = 360
Combine like terms:
6b + 30 = 360
subtract 30 from both sides:
6b = 330
divide both sides by 6:
6b ÷ 6 = 330 ÷ 6
⇒ b = 55
