Question

6. In a right-angled triangle, one angle is 45°. Find the measure of the other angles.
7. The angles of a triangle are in the ratio of 2 : 4:6. Find the measure of all angles.
the following figures.​

Answer 1

Answer:

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Step-by-step explanation:

6)we knew that in a right angle triangle one angle is always 90°

then other angle is 45°

then another angle is ?

we knew that in any triangle the sum of the interior angles of a triangle is 180°

90°+45°+x°=180°

x° = 45°

therefore another angle of triangle is 45°

7) is there in image

Answer 2

Answer:

(1) 45° ; (2) 30°, 60°, 90°

Step-by-step explanation:

1) In a right angle triangle, the angle between the opp. side and adj. side is always 90°.

Here, the second angle is given as 45°. So, the third angle will be

= 180° - (90°+45°)

= 45°

∵ [The sum of three interior angles of triangle is always 180°]

2) The ratio of three angles = 2:4:6

The angles are, 2x, 4x, 6x

we know that, the sum of three angle is 180°

2x+4x+6x = 180

12x = 180

x= 15

The angles are,

2x = 2×15 = 30°

4x = 4×15 = 60°

6x = 6×15 = 90°