ahh yes our entire angle = 90° lets remember that.
and we need to find out what x is.
all we do is plug in both of our values and make it all equal 90 degrees
just like an equation:)
here ill show you
m∠1 = (x + 33°)
m∠2 = 2x°
and we know that
m∠1 + m∠2 = 90°
so lets plug in what we have
(x + 33°) + 2x° = 90°
1st. subtract 33° from both sides
(x + 33°) + 2x° = 90°
- 33° = -33° cancels out on the left side, right side we solve it:)
90° - 33° = 57° now lets rewrite this
x + 2x° = 57°
2nd. add the X's together
x + 2x° = 57° becomessss
3x° = 57°
3rd. we divide both sides by 3
3x° = 57°
÷3 = ÷ 3 the left side cancels out and we solve the left side
x = 19°
FINALLY! now we arent finished yet! lets plug in our x value to get our 2 angle measures
we know that
m∠1 = (x + 33°)
so lets plug in 19° for x
m∠1 = 19° + 33° SOLVE!
m∠1 = 52°
wait! lets find what m∠2 equals
m∠2 = 2x°
so lets plug in 19° for x
m∠2 = 2(19) lets solve:)
2 x 19 = 38
sooooo
m∠2 = 38°
FINALLY YOUR ANSWERS AREEE
m∠1 = 52°
M∠2 = 38°
have a good day ma'm
and dont forget 2
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=)