EXERCISE 4.4
1.
in the given triangles, find out x, y and z
![](https://hi-static.z-dn.net/files/d19/7c41722bdcbc692ef8defa645ed614bd.jpg)
Answers
Answer:
a) x= 50° + 60° = 110°
z= 60°+70°=120°
y=35°+45°=80°
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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