1 4 2 3 Question 12 What type of triangle is AXYZifmex 49e a

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Question 12 What type of triangle is AXYZifm.ex- 49e and mLY 31° a Acute b obtuse Equianugular d Isosceles Noving un an:ther ty.icylinn ll save this respin se,

Solution

Solution to 1 is option b, obtuse angled.

Given the measure of two angles to be 49 and 31. Therefore the third angle = (180-(49+31)) = 180-80 =100.

An obtuse angled triangle is one in which two angles are acute and one obtuse.

Solution to 4 is option d

x + y = 180⁰, by linear pair axiom (If a ray stands on a line the the sum of the two adjacent angles so formed is 180^o ).

Solution to 2, option a and option d are correct.

<1 and <2 together forms <RST, clearly from the figure.

Also their sum is 90⁰. Thus, they are complementary too.

(If <1 and <2 where 45⁰ each then all the four options would have been correct).

Solution to 3 is option d, by the exterior angle property, ie. the exterior angle is the sum of interior opposite angles.

Thus <4 = <1 + <2 = 63 + 72 = 135.