Question

Find the measure of the numbered angle.
m∠2 =

Answer 1

Well we know that the triangle which says 40 degrees also has a right angle so other angle equals:

180 - (40 + 90) = 50 degrees

so angle 1 is 50 degrees

now to find angle 2, we know that angle 2 and 4 are vertical opposites and the same is with 1 and 3. We know that 1 and 3 are both 50 degrees so angle 2 is equal to :

∠1 +∠2 +∠3 +∠4= 360

50 + ∠2 + 50+ ∠4=360

100 +∠2 +∠4= 360

∠2 +∠4 =360-100

∠2 +∠4= 260

∠2= 260/2 = 130 degrees

and same would go for ∠4 (which is also 130 degrees)

so ∠2 is 130 degrees

hope this helps :)

please mark brainkliest :)

Answer 2

<2 = 130

Explanation:

The sum of the angles of a triangle is 180

<1 + 40 + 90 = 180

<1 + 130 = 180

<1 = 50

<1 and <2 form a straight line so they add to 180

<1 + <2 = 180

50 + <2 = 180

<2 = 180-50

<2 = 130