Question

Find the values of x, y, and z.
The diagram has a better description

Answer 1

Answer:

The required values of a , b and c are given below .

Step-by-step explanation:

First ,

x⁰ + 57⁰ + 38⁰ = 180⁰

x⁰ = 180⁰ - 95⁰

x⁰ = 85⁰

Second ,

x⁰ + z⁰ = 180⁰

z⁰ = 180⁰ - 85⁰

z⁰ = 95⁰

Third ,

z⁰ + y⁰ + 12⁰ = 180⁰

y⁰ = 180⁰ - 12⁰ - 95⁰

y⁰ = 180⁰ - 107⁰

y⁰ = 73⁰

Answer 2

Question :-

To find angles of a triangle.

Answer :-

• Total degree of triangle is 180°

• To find third angle :-

180-(adding given angles)

So,

1. X = 180 - (38 + 57)
2. Y = 180 -(57+38+12)
3. Z = 180 - (12+ Y)

Solution :-

$\sf \: x \implies \\ = > 38 + 57 = 95 \\ = > 180 - 95 = 85$

$\sf \: y \implies \\ = > 57 +( 38 + 12) \: = 107 \\ = > 180 - 107 = 73$

$\sf \: z \implies \\ = > 12 + 73 = 85 \\ =>180 - 85 = 95$

Or we can find like this :-

$\sf\: x = 85 \\ \sf \: z = 180 - 85 = 95$

Because of Linear pair.

$\bf \: x = 85</strong><strong>°</strong><strong> \\ \bf \: y = 73</strong><strong>°</strong><strong> \\ \bf \: z = 95</strong><strong>°</strong><strong>$