Answer:
B) 81°
Step-by-step explanation:
Given:
From the figure given below,
∠1 = 3x + 18
∠7 = 2x + 39
∠1 and ∠7 are a pair of exterior alternate angles. For two parallel lines l and m, cut by a transversal n, the pair of exterior alternate angles are congruent to each other.
Therefore, the angles 1 and 7 are congruent to each other. This gives,
∠1 ≅ ∠7
Therefore, the value of 'x' is 21.
Now, the measure of angle 7 can be calculated by plugging in the value of 'x' in the expression for angle 7. This gives,
Therefore, the correct option is option (B).
Set up 2 equations.(x = number of people in first class, y = tourist class)
30x + 25y = 1360
x + y = 52
You have 2 equations and 2 unknown. You can solve them.
I like to use the substitution method
Because y = 52 - x
Then 30x + 25(52 - x) = 1360, solve for x.
30x + 1300 - 25x = 1360
5x = 60
x = 12
Use the x to solve y
30(12) + 25y = 1360
360 + 25y = 1360
25y = 1000
y = 40
Option C:
The value of x is 27.
Solution:
Given exterior angles are 56°, 2x°, 85°, 57° and 4x°.
<em>Sum of exterior angles of a polygon = 360°</em>
⇒ 56° + 2x° + 85° + 57° + 4x° = 360°
⇒ 198° + 6x° = 360°
Subtract 198° from both sides of the equation.
⇒ 6x° = 162°
Divide by 6 on both sides, we get
⇒ x° = 27°
⇒ x = 27
The value of x is 27.
Option C is the correct answer.
