Question

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EXERCISE - 42
Two ongles of a triangle are 25 and 45. Find the third angle
2. All the angles of a triangle are equal. Find the measure of each angle of the
3. One of the acute angles of a right triangle measures 44. Find the other cungle Answer
4. An acute angle of an obtuse isosceles triangle measures 25. Find the ongles
5. In Fig. 9.10, ZCAB = 90°, AD 1 BC, C = 34.
Find CAD, BAD, ZABD.
157​

Answer 1

Answer:

Angles in a triangle add up to 180 degrees. So to get the third angle, get the sum of the two known angles, 25+45=70. Next 180-70=110.

Step-by-step explanation:

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Answer 2

1) Two angles of a triangle are 25° and 45° respectively. Find the third angle.

Sum of all the angles of a triangle = 180°

Measure of angle 1 = 25°

Measure of angle 2 = 45°

Measure of angle 3 = Total measure - (Sum of angle 1 and angle 2)

Measure of angle 3 = 180 - (25 + 45)

Measure of angle 3 = 180 - 70

Measure of angle 3 = 110°

The third angle measures 110°.

2) All the angles of a triangle are equal. Find the measure of each angle of the triangle.

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

It is given that the measure of all the three angles are equal.

Measure of each angle:

$\sf{Measure\:of\:each\:angle=\dfrac{180}{3}}$

The measure of each angle is 60°.

3) One of the acute angles in a right triangle measure 44°. Find the measure of the other angle.

Measure of one acute angle = 44°

It is given that the triangle is right angled.

So one angle = 90°

The sum of all the angles = 180°

The measure of the other acute angle = Total measure - (Sum of given measures)

= 180 - (90 + 44)

= 180 - 134

= 46°

The other acute angle measures 46°.

4) An acute angle in an obtuse isosceles triangle measures 25°. Find the measure of the other angles.

As it is given that the triangle is isosceles, it means that the two angles are equal.

The measure of one angle is 25°. So, the measure of the other angle is also 25°.

Let the unknown obtuse angle be x.

Total measure = 180°

Forming an equation:

25 + 25 + x = 180

50 + x = 180

x = 180 - 50

x = 130°

The measure of the obtuse angle is 130°.