Question

In each of the following figures, calculate the unknown marked angles. <br /><br />Guys please help! ​

Answer 1

Step-by-step explanation:

(5)(i.)

x = Sum of All Angles in a ▲ - (Sum of all Known Angles)

x = 180 - (90 + 30)

x = 180 - 120

x = 60

(ii.)

x + 3x + 5x = Sum of All Angles in a ▲

9x = 180

x = 20

(iii.)

Sum of All Angles in a ▲ = (all Known Angles) + all variables

180 = 90 + 2a

180 - 90 = 2a

90 = 2a

45 = a

(iv.)

y = Sum of All Angles in a ▲ - (Sum of all Known Angles)

y = 180 - 100

y = 80

(v.)

b = Sum of All Angles in a ▲ - (Sum of all Known Angles)

b = 180 - (50 + 77)

b = 53