Questions: Дано: А: C= 2:5 В=40° Найти: A C

Transcript text: Дано: А: C= 2:5 В=40° Найти: A C

Solution

Step 1: Find the ratio between the angles A and C

Given that the ratio of angles A and C is 2:5, we can express them as 2x and 5x respectively.

Step 2: Calculate the value of x

The sum of angles in a triangle is 180°. We are given angle B as 40°. Therefore, 2x + 5x + 40° = 180°. Simplifying, we get 7x = 140°, hence x = 20°.

Step 3: Calculate the angles A and C

Angle A = 2x = 2 * 20° = 40° Angle C = 5x = 5 * 20° = 100°

Angle A = 40°, Angle C = 100°

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