Answer: x = 50
Concept:
Here, we need to know the idea of alternative interior angles and the angle sum theorem.
<u>Alternative interior angles</u> are angles that are formed inside the two parallel lines, and the values are equal.
The <u>angle sum theorem</u> implies that the sum of interior angles of a triangle is 180°
If you are still confused, please refer to the attachment below or let me know.
Step-by-step explanation:
<u>Given information:</u>
AC ║ DE
∠ABC = 85°
∠A = 135°
<u>Find the value of ∠BAC</u>
∠A + ∠BAC = 180° (Supplementary angle)
(135°) + ∠BAC = 180°
∠BAC = 45°
<u>Find the value of ∠BCA</u>
∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)
(85°) + (45°) + ∠BCA = 180°
∠BCA = 50°
<u>Find the value of x (∠EBC)</u>
∠EBC ≅ ∠BCA (Alternative interior angles)
Since, ∠BCA = 50°
Therefore, ∠EBC = 50°
Hope this helps!! :)
Please let me know if you have any questions
Answer:
175
Step-by-step explanation:
35 * 5 = 175
Answer:
x = −6
Step-by-step explanation:
I like to start off by simplifying the equation! Then, I use inverse operations to narrow it down until I reach the answer!
5x + 12= −18
5x + 12 <u>− 12</u>= −18 <u>− 12
</u>
5x = −30
5x<u>/5</u> = -30<u>/5</u>
<u>x = -6</u>
Answer:
B.
Step-by-step explanation: