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4. Angles, Lines and Triangles
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Q25 of 153 Page 144

In the given figure, AM BC and AN is the bisector of. Find the measure of.

17.5°


Given, AMBC and “AN” is the bisector of.


Therefore,


= (-)


⇒ = (65° -30°)


⇒ = 17.5°


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23

The sides AB and AC of ABC have been produced to D and E respectively. The bisectors of and meet at O. If =40° find .

24

In the given figure, ABC is a triangle in which::=3:2:1 and AC CD. Find the measure of.

26

State ‘True’ or ‘false’:

(i) A triangle can have two right angles.


(ii) A triangle cannot have two obtuse angles.


(iii) A triangle cannot have two acute angles.


(iv) A triangle can have each angle less than 60°.


(v) A triangle can have each angle equal to 60°.


(vi) There cannot be a triangle whose angles measure 10°, 80° and 100°.

1

If two angles are complements of each other, then each angle is

Questions · 153
4. Angles, Lines and Triangles
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