The angles in a triangle are such that one angle is 30 degrees more than the smallest angle while the third angle is four times

Question

3 years ago

10

as large as the smallest angle find the measure are of all three angles

2 answers:

zalisa [80] · Answer 1 · 2022-05-11T20:08:48+03:00

Answer:

25, 55, 100

Step-by-step explanation:

Let's call the smallest angle x, therefore the other two angles would be x + 30 and 4x. Since the sum of angles in a triangle is 180° we can write:

x + x + 30 + 4x = 180

6x + 30 = 180

6x = 150

x = 25°

x + 30 = 25 + 30 = 55°

4x = 25 * 4 = 100°

Ede4ka [16] · Answer 2 · 2022-05-11T21:37:09+03:00

5 0

The sum of angles is 180.

$\alpha + \beta + \gamma = 180$

$\alpha + ( \alpha + 30) + (4 \alpha ) = 180$

$6 \alpha = 150$

$\alpha = 25 \\ \beta= 25+30=55 \\ \gamma= 4.25 =100$