Question

Find the Value of X
With Step-by-Step Explanation.

Answer 1

Answer:

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Step-by-step explanation:

sum of all angles in a triangle = 180 degree

i) 45 degree + 30 degree + X degree = 180 degree

75 degree + x degree = 180 degree

X degree = 180 degree - 75 degree

therefore X degree = 105 degree

ii) 90 degree + 30 degree + X degree = 180 degree

120 degree + X degree = 180 degree

x degree = 180 degree - 120 degree

therefore, X degree = 60 degree

Answer 2

Answer:

i.

$x = 105 \: degre$

ii.

$x = 60 \: degree$

Step-by-step explanation:

$the \: total \: measure \: of \: the \: triangle \: = 180 \: degree$

$in \: figure \: 1 \: the \: sum = \: 45 + 30 + x$

$x = 180 \: - 30 + 45 \\ x = 105 \: degree$

$in \: figure \: ii \\ the \: sum \: = 30 + 90 + x$

$x = 180 - 30 + 90 \\ x = 60 \: degree$

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