I have to find the missing angles​

Angle 3 = 115°

Angle 4 = 22°

Angle 5 = 43°

Angle 6 = 115°

Step-by-step explanation:

These two triangles are congruent by SSS. It is given that two sides are congruent already, and by the reflexive property, they share a side and therefore have a third congruent side.

By CPCTC, all of their angles and sides are also congruent. And by the triangles angle sum theorem, side 3 and 6 must equal 115°

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Step-by-step explanation:

4 = 22⁰

5 = 43⁰

3 and 6 are same

kite total angles = 360⁰

so, to find 3 and 6, we need to subtract all angles we have and devide it with 2 because we need to find 2 angles...

360-22-22-43-43= 230

3 and 6 = 230 ÷ 2

= 115⁰

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

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