Question

Find the value of each numbered angle.

Answer 1

Explanation:

<1=180°-74° so <1=126°

<2=180°-90° so <2=90°

<3=180°-116° so <3=64°

<4=180°-65° so <4=115°

by using
`(n-2)/(n)180`° =(3)180°/5 -<1 -<2 -<3 -<4 =<5

you find out the last.

Answer 2

Explanation:

∠1 + 74 = 180 (linear pair)

∠1 = 180-74

∠1 = 106

∠2 + 90 = 180 {linear pair}

∠2 = 180 - 90

∠2 = 90

∠3 +116 = 180 {linear pair}

∠3 = 180 -116

∠3 = 64

∠4 + 65 = 180

∠4 = 180 - 65

∠4 = 115

Sum of all angles of polygon = (n-2)*180= (5-2)*180

= 3 * 180 = 540

∠1 + ∠2 +∠3 + ∠ 4 + ∠5 = 540

106 + 90 + 64 + 115 + ∠5 = 540

375 + ∠5 = 540

∠5 = 540 - 375

∠5 = 165