Question

In adjacent figure, ABC is a triangle in which b = 50 and c = 70 .sides AB and AC are produced . If 'z' is the measure of the angle between the bisectors of the exterior angles so formed, then find ' z' .

Answer 1

X+X+50=180(angle formed on same line, similar as linear pair) 2x+50=180 2(X+25)=180 On deciding equation by2,we get X+25=90 X=90-25 X=65  Y+y+70=180 2(y+35)=180 Y+35=90 Y=55  X+y+z=180 65+55+z=180 120+z=180 Z=60  Hope it helps you!!!!!!!!!!!!  

Answer 2

Answer:

60°

Step-by-step explanation:

Here, ABC is a triangle in which ∠B = 50° and ∠C = 70° .sides AB and AC are produced two rays,

Such that, z' is the measure of the angle between the bisectors of the exterior angles so formed,

Now, AB is a straight line,

Thus, by the diagram,

x° + x° + 50° = 180°,

2x° + 50° = 180°

2x° = 130°

x = 65,

Similarly, again by the diagram,

y° + y° + 70° = 180°,

2y° + 70° = 180°

2y° = 110°

y = 55,

Now, OBC is a triangle,

⇒ ∠BOC + ∠OBC + ∠BCO = 180°,

⇒ z + x + y = 180

⇒ z + 65 + 55 = 180

⇒ z = 180 - 120 = 60