Question

Find the measures of the biggest and the smallest angles in the adjacent figure​

please tell fast I have to do it just now

Answer 1

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Largest angle = $\angle3$ = 130°

Smallest angle = $\angle2$ = 20°

Explanation :

From the figure, the sum of all angles = 360°

$\angle$1 + $\angle$2 + $\angle$3 + $\angle$4 = 360°

(2x + 30) + (3x - 70) + (3x + 40) + (5x - 30) = 360°

13x - 30 = 360°

13x = 390°

x = 390/ 13

x = 30°

Hence, the angles are

(2x + 30) = 90°

(3x - 70) = 20°

(3x + 40) = 130°

(5x - 30) = 120°

Therefore, largest angle = $\angle 3$ = 130°

Smallest angle = $\angle 2$ = 20°

Answer 2

Answer:

⋆ANSWER⋆

Largest angle = \angle3∠3 = 130°

Smallest angle = \angle2∠2 = 20°

Explanation :

From the figure, the sum of all angles = 360°

\angle∠ 1 + \angle∠ 2 + \angle∠ 3 + \angle∠ 4 = 360°

(2x + 30) + (3x - 70) + (3x + 40) + (5x - 30) = 360°

13x - 30 = 360°

13x = 390°

x = 390/ 13

x = 30°

Hence, the angles are

(2x + 30) = 90°

(3x - 70) = 20°

(3x + 40) = 130°

(5x - 30) = 120°

Therefore, largest angle = \angle 3∠3 = 130°

Smallest angle = \angle 2∠2 = 20°