1 222 2 599 3 209 Helpppopo

Mathematics

1 answer:

Reptile [31]3 years ago

6 0

Answer:

∠1 = 36°

∠2 = 122°

∠3 = 122°

∠4 = 38°

Step-by-step explanation:

∠2 = 180°-58° (Supplementary angles add up to 180°)

= 122°

∠2 = ∠3 (Vertically opposite angles are equal)

= 122°

∠1 = 180°-122°-22° (Sum of angles in a triangle is 180°)

= 36°

∠4 = 180°-122°-20° (Sum of angles in a triangle is 180°)

= 38°

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X plus 1/3 equals nine enter your answer in the box in simplest form

LekaFEV [45]

$= > x + \frac{1}{3} = 9$

$\text{Add} \: - \frac{1}{3} \: \text{ on both sides ,}$

$= > x + \frac{1}{3} - \frac{1}{3} = 9 - \frac{1}{3} \\ \\ \\ \\ = > x = \frac{(9 \times 3) - 1}{3} \\ \\ \\ \\ = > x = \frac{27 - 1}{3} \\ \\ \\ \boxed{ \bold{= > x = \frac{26}{3} }} \\ \\ \\ or , \boxed{ \bold{ \: x = 8. \bar{6}}}$

Hence,

$Value \: \: \: of \: \: x \: \: is \: \frac{26}{3} \: \: \: or \: \: \: 8. \bar{6}$