Kelzest1213idn
Answered

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does anyone minding helping me with exterior angles ? due in 2 days

Does Anyone Minding Helping Me With Exterior Angles Due In 2 Days class=

Sagot :

Asiansquatidn

Answer:

x=25

Step-by-step explanation:

(x+40)+(3x+10)=6x

4x+50=6x

50=2x

25=x

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ CBD is an exterior angle of the triangle, then

6x = x + 40 + 3x + 10, that is

6x = 4x + 50 ( subtract 4x from both sides )

2x = 50 ( divide both sides by 2 )

x = 25

Thus

∠ CBD = 6x = 6 × 25 = 150°

∠ CBA and ∠ CBD are adjacent angles and supplementary, sum to 180°, then

150° + ∠ CBA = 180° ( subtract 150° from both sides )

∠ CBA = 30°

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