Question

(11)
3.
Find the measure of the third angle of triangles whose two angles are given below:
(1) 38, 102 (ii) 116°, 30° (iii) 40°, 80
4.
In a right-angled triangle, one acute angle is 30°. Find the other acute angle.
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Answer 1

Hey buddy here is your answer !!

3)

For first triangle ,

38 + 102 + third side = 180

(by angle sum property)

140 + third side = 180

Third side = 40

For second triangle ,

116 +30 + third side = 180

(by angle sum property )

146 + third side = 180

Third side = 34

For third triangle ,

40 + 80 + third side = 180

120 + third side = 180

Third side = 60

Hence proved

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4) We know sum of angles of triangle = 180°

As it is right angled triangle ,

Other acute angle = 180-(30+90)= 60°.

Answer 2

Answer:

Step-by-step explanation:

Hey frn here is your answer !!

1.For first triangle ,

38 + 102 + third side = 180

(by angle sum property)

140 + third side = 180

Third side = 40

For second triangle ,

116 +30 + third side = 180

(by angle sum property )

146 + third side = 180

Third side = 34

For third triangle ,

40 + 80 + third side = 180

120 + third side = 180

Third side = 60

2.We know sum of angles of triangle = 180°

As it is right angled triangle ,

Other acute angle = 180-(30+90)= 60°.Hence proved

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