Question

4. Find the measures of the angles of a triangle in each of the following cases :
(1) One of the acute angles of a right triangle is 63º. Find the other acute angle.
[Hint. Since it is a right triangle, one angle = 90°. So, other acute angle + 63° = 90°]
(ii) The three angles are equal to one another.
(iii) One of the angles is 140° and the other two angles are equal.
(iv) One angle is twice the smallest angle and another angle is three times the smallest angle.
[Hint. Let x be the measure of the smallest angle in degrees. Then measures of the other two angles are 2x and 3x.]
(v) If one angle of a triangle is 80° and the other two angles are in the ratio 3 : 7.
(vi) The angles are in the ratio 2:3: 4.
GTE 1.1
ftion: 1e than them the other to show that the triangle is acute​

Answer 1

Answer:

ɦεεყα,

αɳรωεɾ σƒ 1

Let angle be x.

so, x + 63°+ 90°= 180°

, x + 153 = 180°

, 180 - 153 = x

, x = 27°answer

αиѕωєя οƒ 2

let all equal angles be x

so , x + x + x = 180°

, 3x = 180°

, x = 180/3

, x = 60° answer

ԹՌՏաeՐ ԾԲ 3

Let equal angles be x.

so, 140° + 2x = 180°

, x = 180 - 140 /2

, x = 40 / 2

, x = 20° answer.

αиѕωєяѕ οƒ 4

Let smallest angle be x., then other angles will be 2x and 3x.

x + 2x + 3x = 180°

6x = 180/6

x. = 30° answer

also , 2x = 2×30 = 60° answer

, 3x = 3×30 = 90° answer

ԹՌՏաeՐ ԾԲ 5

Let two angles be 3x and 7x .

80 + 3x + 7x = 180°

10 x. = 100

x. = 10.

so, 3x = 3× 10=30° answer

, 7x = 7 × 10 = 70 ° answer.

αղsաҽɾ օբ 6

Let angles be 2x , 3x ,4x

2x+3x+4x = 180°

9x. = 180° .

x = 180/9

x. = 20.

so, 2x = 2× 20 = 40° answer.

, 3x = 3× 20 = 60° answer.

, 4x = 4×20= 80°answer.

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Answer 2

Answer:

Step-by-step explanation: