Step-by-step explanation:
The 1st one says the 2 angles are supplementary so they sum up to be 180°.
so
1)
[tex] < w + < v = {180}^{0} [/tex]
[tex] < w + {131}^{0} = {180}^{0} [/tex]
[tex] < w = {180}^{0} - {131}^{0} [/tex]
[tex] < w = {49}^{0} [/tex]
2)
vertical angle is when two lines are intersect and it's the angle formed in none adjecent angles .
Also complementary angles are angles w/c tgeir sum is 90°.
[tex] < 1 = < 2[/tex]
[tex] < 2 + < 3 = {90}^{0} \\ < 2 + {34}^{0} = {90}^{0} \\ < 2 = {90}^{0} - {34}^{0} \\ < 2 = {56}^{0} [/tex]
as we said before <1 and <2 are equal b/c they are vertical angles so they are equal
Therefore
[tex] < 1 = < 2 = {56}^{0} [/tex]
3)
linear pair are two angle whose sum is 180° so
[tex] < 1 + < 2 = {180}^{0} [/tex]
[tex] < 2 = 18 - 5( < 2)[/tex]
It us the given word equetion just changed to mathematical equetion .
[tex] < 2 = 18 - 5( < 2) \\ < 2 + 5( < 2) = 18 \\ 6( < 2) = 18 \\ < 2 = \frac{18}{6} \\ < 2 = 3[/tex]
so <2 is 3° while <1 will be
[tex] < 1 + < 2 = 180 \\ < 1 + {3}^{0} = {180}^{0} \\ < 1 = {180}^{0} - {3}^{0} \\ < 1 = {177}^{0} [/tex]
hope it help but will be more helpful if you give me brainlist, Thanks .
