Question

Угол А больше угла В на 79°, а их сумма равна 90°. Найдите больший угол

Answer 1

Угол А больше угла В на 79°, а сумма их равна 90°.

Найти больший угол.

Пусть угол В = х

Тогда угол А = х+79

Составим уравнение:

х+х+79=90

2х+79=90

2х=90-79

2х=11°

х=5,5° (угол В)

5,5+79=84,5° (угол А)

84,5>5,5. Значит угол А и есть больший угол.

Ответ: угол А.

Answer 2

Let's use algebra to solve this problem. Let the measure of angle B be represented by 'x'.

1. The problem states that angle A is 79° more than angle B, so the measure of angle A can be represented as 'x + 79'.

2. The sum of angles A and B is 90°, so we can write the equation: (x) + (x + 79) = 90

Now, let's solve the equation for 'x':

2x + 79 = 90

Subtract 79 from both sides:

2x = 90 - 79 2x = 11

Divide both sides by 2:

x = 11 / 2 x = 5.5

So, the measure of angle B (x) is 5.5°.

Now, to find the measure of angle A, we can use the expression 'x + 79':

A = 5.5 + 79 A = 84.5

Therefore, the larger angle (angle A) measures 84.5°.