Question

EXERCISE 4.4
1.
in the given triangles, find out x, y and z
​

Answer 1

Answer:

a) x= 50° + 60° = 110°

z= 60°+70°=120°

y=35°+45°=80°

Answer 2

The values of x, y and z are as follows;

The values of x, y and z are as follows; x = 70°

The values of x, y and z are as follows; x = 70° z = 130°

The values of x, y and z are as follows; x = 70° z = 130° y = 80°

GIVEN

Triangles ABC, EFG and PQR

TO FIND

(i) The value of x

(ii) The value of z

(iii) The value of y

SOLUTION

We can simply solve the above problem as follows;

(i)

ABC is a triangle

∠A = 50°

∠B = 60°

∠ACD = x

Applying the exterior angle theorem,

The exterior angle is equal to the sum of opposite interior angle of the triangle

Therefore;

∠ACD = ∠A + ∠B

So,

∠ACD = 50 + 60 = 110°

Therefore,

x = 70°

(ii)

EFG is a triangle.

∠F = 60°

∠G = 70°

∠GEH = z

Applying exterior angle theorem

∠GEH = ∠F + ∠G

z = 60 + 70 = 130°

(iii)

PQR is a triangle.

∠P = 35°

∠Q = 45°

∠PRS = y°

Applying exterior angle theorem in ΔPQR

∠PRS = 45 + 35

z = 80°

Hence, The values of x, y and z are as follows;

• Hence, The values of x, y and z are as follows; x = 70°
• Hence, The values of x, y and z are as follows; x = 70° z = 130°
• Hence, The values of x, y and z are as follows; x = 70° z = 130° y = 80°

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