Question

15) In the given figure , line m is parallel to linen, find the value of x, y, z.
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer

⨳ x & z are 55°, y is 90°

$\displaystyle\huge\underline{\textsf{\textbf{Given}}}$

• Two Angles of the triangle are 35° & 90°
• m ll n

$\displaystyle\huge\underline{\textsf{\textbf{To Find}}}$

• The value of x, y & z?

$\displaystyle\huge\underline{\textsf{\textbf{Solution}}}$

✭ Using Angle sum property

➝ 35° + 90° + x = 180°

➝ 125° + x = 180°

➝ x = 180-125

➝ $\displaystyle\red{\textsf{\textbf{x = 55 {}^{\circ} }}}$

✭ Using Alternate Angles property

➝ $\displaystyle\sf x = z\;\; \bigg\lgroup Alternate \ Interior \ Angle\bigg\rgroup$

➝ $\displaystyle\orange{\textsf{\textbf{z = 55 {}^{\circ} }}}$

✭ Using Linear Pair Property

➝ z+35°+y = 180°

➝ 55°+35°+y = 180°

➝ 90°+y = 180°

➝ y = 180-90

➝ $\displaystyle\pink{\textsf{\textbf{y = 90 {}^{\circ} }}}$