Answer:
<1 = 95
<2 =85
Step-by-step explanation:
<1 = 95
They are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
<1 + <2 = 180 since they form a straight line
95+ <2 =190
Subtract 95 from each side
95-95+<2 =180-95
<2 =85
Answer:
Yes
Step-by-step explanation:
The smaller two sides have to be greater than the biggest side.
2+8>9, so it can make a triangle.
Answer:
find the value of x or do
(4x)2
Step-by-step explanation:
Daily fact:Noah's Ark is the vessel in the Genesis flood narrative through which God spares Noah, his family, and examples of all the world's animals from a world-engulfing flood. The story in Genesis is repeated, with variations, in the Quran, where the Ark appears as Safinat Nūḥ and al-fulk.
Answer:

Explanation:
Let's begin writing down everything
(X×(-11)+5)×(-9)+X-55
Now we can multiply
-9(-11X+5)+X-55
99X-45+X-55
And so we get
100X-100
Factorize 100
100(x-1)
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!! :)
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