Question

Find'x' in the following figures?

Answer 1

Answer:

Step-by-step explanation:

Here in first one

In a triangle ABC

Angle C+123=180 (linear pair)

So, c+123=180

C=180-123

C=57

Sum of all angles in a triangle =180

A+B+C=180

56+x+57=180

113+x=180

X=180-113

X=67

Here in 2nd one

Sum of all angles =180

P+Q+R=180

45+(3x+16)+68=180

45+3x+16+68=180

129+3x=180

3x=180-129

3x=51

x=51/3

x=17

Here in 3rd one

Sum of all angles in a triangle =180

A+B+C=180

25+x+30=180

55+x=180

x=180-55=125

Therefore x=125

Here In 4th one

Triangle XYZ is a isosles triangle

So,

xy=xz

y=z

2x+7=45

2x=45-7=38

x=38/2

Therefore x=19