Answer:

Step-by-step explanation:
we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant and this constant is called the common difference
we have

Let



The common difference is 
We can write an Arithmetic Sequence as a rule

where
a_n is the nth term
d is the common difference
a_1 is the first term
n is the number of terms
Find the 63rd term of the arithmetic sequence
we have

substitute




Answer:
x = 78º
y = 35º
Step-by-step explanation:
These are isosceles triangles
two angles are congruent
-----------------------------
x + 51 + 51 = 180
x = 180 - 102
x = 78º
y + y + 110 = 180
2y = 70
y = 35º
We need more info like a) this b) or this stuff like that
Answer:
x = 4, z = 77
Step-by-step explanation:
From the figure attached,
(15x + 43)° = (8x + 71)° [Vertically opposite angles]
15x - 8x = 71 - 43
7x = 28
x = 4
Therefore, (15x + 43)° = (15×4 + 43)°
= 103°
Now, z° + (15x + 43)° = 180° [Linear pair of angles]
z° + 103° = 180°
z° = 180 - 103
z = 77
Therefore, x = 4 and z = 77 is the answer.