Answer:
Value of ∠1 = 102°
Value of ∠1 = 72°
Step-by-step explanation:
Given:
∠ S = 42°
∠ A = 30°
Find:
Value of ∠1
Value of ∠2
Computation:
Using angle sum property;
Sum of all interior angle of a triangle = 180°
∠ S + ∠ A + ∠ 1 = 180
42 + 30 + ∠ 1 = 180
72 + ∠ 1 = 180
∠ 1 = 180 - 72
∠ 1 = 102
Value of ∠1 = 102°
∠ 1 and ∠ 2 makes a straight line
So,
∠ 1 + ∠ 2 = 180
102 + ∠ 2 = 180
∠ 2 = 180 - 102
∠ 2 = 72
Value of ∠1 = 72°
Answer:
6x = 16
Step-by-step explanation:
Given:

The equation can be rewritten as:

Multiply both sides by 2x.

Simplify the equation in simplest form.

Therefore, the answer to this question is 6x = 16.
Please let me know if you have any questions regarding my answer or explanation!
Answer:
x = 3.2
Step-by-step explanation:
Since they are similar the ratio of the side lengths must be the same
Using the bottom side and the unknown side from the left figure and the right figure
5 4
----- = --------
4 x
Using cross products
5x = 4*4
5x = 16
Divide by 5
x = 16/5
x =3.2