A. what do you notice about each exterior angle measurement when you arrange the triangles so that the three angles form a straight line? b. if angle 1 = 60o and angle 2 = 90o, what is the measurement of angle 3? c. if angle 1 = 60o and angle 2 = 90o, what is the sum of angles 1 and 2? d. what do you notice about the sum of the angles inside the triangle and the exterior angle measurement?

We are given with figure of Right angled triangle.

m∠2 = 90°

A).

When we arranged the triangles so that the three angles form a straight line.

We notice that,

Measure of the exterior angle of ∠1 =  ∠2 + ∠3

Measure of the exterior angle of ∠2 =  ∠1 + ∠3

Measure of the exterior angle of ∠3 =  ∠1 + ∠2

B).

If, m∠1 = 60° and m∠2 = 90°

To find: m∠3

From Figure,

∠3 + ∠2 + ∠1 = 180° ( linear pair angles )

∠3 + 90 + 60 = 180

∠3 = 180 - 150

∠3 = 30°

C).

If, m∠1 = 60° and m∠2 = 90°

Sum of both angles = 60 + 90 = 150°

D).

Sum of the interior angle and Exterior angles

= ∠1 + ∠2 + ∠3 + (∠2 + ∠3) + (∠1 + ∠3) + (∠1 + ∠2)

= 2 ∠1 + 2 ∠2 + 2 ∠3

= 2 ( ∠1 + ∠2 + ∠3 )

= 2 × 180

= 360°

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )