Question

6. One of the angles of a right angled triangle is 40°. Find the other angles of the triangle.
7. Two angles of a triangle measure 30° and 55° respectively. Find the measure of the
third angle. Also state what type of a triangle is it.
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Answer 1

Answer:

6• sum of angles of triangle=180°

90°+40°+X=180

130°+X=180

X=180°-130°

X=50°

Measurement of last angle is 50°

7• sum of angles of triangle =180°

30°+55°+X=180°

85°+X=180°

X=180°-85°

X=95°

Answer 2

Question 1.

Answer :-

• The unknown angle is 50°.

Given :-

• One angle of a right angled triangle = 40°.

To find :-

• The other angles of the triangle.

Step-by-step explanation :-

Its a right angled triangle.

In a right angled triangle, one angle is 90°.

Sum of all the angles in a triangle = 180°.

Let the unknown angle be x°.

So, we get :-

$\sf \bf90^{\circ} + 40^{\circ} + x^{\circ} = 180^{\circ}$

$\sf \bf130^{\circ} + x^{\circ} = 180^{\circ}$

$\sf \bf x^{\circ} = 180^{\circ} - 130^{\circ}$

$\sf \bf x = 50^{\circ}.$

Question 2.

Answer :-

• The measure of the third angle is 95°.

Given :-

• Two angles of a triangle measure 30° and 55° respectively.

To find :-

• The measure of the third angle.

Step-by-step explanation :-

We know the value of the two angles in a triangle.

Sum of all the angles in a triangle = 180°.

Let the unknown value be y°.

So, we get :-

$\sf \bf 30^{\circ} + 55^{\circ} + y^{\circ} = 180^{\circ}$

$\sf \bf 85^{\circ} + y^{\circ} = 180^{\circ}$

$\sf \bf y^{\circ} = 180^{\circ} - 85^{\circ}$

$\sf \bf y = 95^{\circ}.$

So, the three angles of this triangle are 30°, 55° and 95°.

Since one angle is 95° (more than 90°), therefore its an obtuse angle.