Answer:
Measure of ∠5 is 142°
Step-by-step explanation:
We are given that, Lines L and M are parallel.
As, the third line is intersecting both line L and M.
<em>We know that, 'The opposite angles formed by the intersecting lines are equal'.</em>
Since, the sum of the four angles formed by the third line and M is 360°.
So, we get,
∠1 + ∠6 + ∠7 + 38 = 360°
i.e. 2∠1 + 2×38° = 360°
i.e. 2∠1 = 360° - 76°
i.e. 2∠1 = 284°
i.e. ∠1 = 142°
Thus, ∠1 = ∠7 = 142°
Since, L and M are parallel.
So, ∠3 = ∠5 = 142°
Hence, we get that measure of ∠5 is 142°.
We can solve this problem by using PEMDAS
PEMDAS stands for
Parenthesis
Exponents
Multiply
Add
Subtract
So start with (P+3) () is a parenthesis
Answer:
18 ft
Step-by-step explanation:
Since the triangle is right angled ; we could use trigonometry ;
Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x
Cos θ = Adjacent / hypotenus
Cos 40 = 14 / x
0.7660444 = 14 / x
0.7660444x = 14
x = 14 / 0.7660444
x = 18.27
= 18 ( nearest foot)