Answer: x = 2 and z=78
Step-by-step explanation:
Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure). Z is Opposite to 78 angle, so z=78.
Adjacent angles add up to 180 degrees, and 78 and (5x + 92) are adyacents so:
5x + 92 + 78 = 180
5x + 170 = 180
5x = 180 - 170
5x = 10
x = 10/5
x = 2
Answer: (sec x – tan x)(csc x + 1).
Step-by-step explanation:
Alternate interior angles theorem.
<u>Step-by-step explanation:</u>
By using the definition of Alternate Interior Angles theorem, we can say that If a transversal cuts any two parallel lines, then those pairs of alternate interior angles are seems to be congruent.
So in the given triangle,
∠4 ≅ ∠2
∠5 ≅ ∠3
Sum of all the angles in a triangle = 180°
∠1 + ∠2 + ∠3 = 180°
Since from the above congruence, we can write that
∠1 + ∠4 + ∠5 = 180°
Hence proved.
I have no clue actually this is weird
Answer:
20
Step-by-step explanation:
4 * 1 = 4 5 * 1 = 5
4 * 2 = 8 5 * 2 = 10
4* 3 = 12 5 * 3 = 15
4 * 4 = 16 5 * 4 = 20
4 * 5 = 20
they both go into 20 equally. there is no number lower than 20 that they both go into