Answer:
see explanation
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 4 , ∠ 5 , ∠ 6 are exterior angles of the triangle
-------------------------------------------
(14)
∠ 1 and ∠ 4 are adjacent angles and sum to 180° , then
∠ 1 = 180° - 58° = 122°
∠ 2 + ∠ 3 = ∠ 4
∠ 2 + 32° = 58° ( subtract 32° from both sides )
∠ 2 = 26°
∠ 5 = ∠ 1 + ∠ 3 = 122° + 32° = 154°
∠ 6 = ∠ 1 + ∠ 2 = 122° + 26° = 148°
(15)
∠ 4 = ∠ 2 + ∠ 3 = 11° + 143° = 154°
∠ 1 = 180° - ∠ 4 = 180° - 154° = 26°
∠ 5 = ∠ 1 + ∠ 3 = 26° + 143° = 169°
∠ 6 = ∠ 1 + ∠ 2 = 26° + 11° = 37°
To find n
1. Subtract 8n from both side to get -3n=30
2. Divide both sides by -3 to get n=-10
Answer:
4.5
Step-by-step explanation:
Answer:
12 and 14
Step-by-step explanation:
Let the even integers be x and x+2
three times the larger number is expressed as 3(x+2)
30 more than the smaller one is x + 30
Equating both expressions
3(x+2) = x +30
Find x
3x+6 = x+30
3x-x = 30-6
2x = 24
x = 12
The second integer is 12+2 = 14
Hence the required integers are 12 and 14
To solve this problem we must know that when any two lines intersect , a pair of opposite angles from the figure Will be equal
so that means that
we can subtract twenty from each side
now we can subtract like terms
so we can get the final answer as
