Question

in fig 8.5, ∆ABC is isosceles with AB=AC. Find the values of x and y. ​

Answer 1

Given:-

• ∆ABC is isosceles with AB = AC

⠀

To find:-

• Values of x and y.

⠀

Solution:-

★ Finding ∆ABC

$\large{\tt{\longmapsto{\triangle ABC = (180° - 30°) \div 2}}}$

⠀

$\large{\tt{\longmapsto{150° \div 2}}}$

⠀

$\boxed{\large{\tt{\longmapsto{\red{\triangle ABC = 75°}}}}}$

⠀

★ Finding X

$\large{\tt{\longmapsto{}}}$$\large{\tt{\longmapsto{x = 180° - \triangle ABC}}}$

⠀

$\large{\tt{\longmapsto{x = 180° - 75°}}}$

⠀

$\boxed{\large{\tt{\longmapsto{\red{x = 105°}}}}}$

⠀

★ Finding Y

$\large{\tt{\longmapsto{y = 180° - \triangle ABC}}}$

⠀

$\large{\tt{\longmapsto{y = 180° - 75°}}}$

⠀

$\boxed{\large{\tt{\longmapsto{\red{y = 105°}}}}}$

⠀

Hence,

• Value of x = 105°
• Value of y = 105°

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Answer 2

Given:-

• ∆ABC is isosceles with AB = AC

⠀

To find:-

• Values of x and y.

⠀

Solution:-

★ Finding ∆ABC

$\large{\tt{\longmapsto{\triangle ABC = (180° - 30°) \div 2}}}$

⠀

$\large{\tt{\longmapsto{150° \div 2}}}$

⠀

$\boxed{\large{\tt{\longmapsto{\red{\triangle ABC = 75°}}}}}$

⠀

★ Finding X

$\large{\tt{\longmapsto{}}}$$\large{\tt{\longmapsto{x = 180° - \triangle ABC}}}$

⠀

$\large{\tt{\longmapsto{x = 180° - 75°}}}$

⠀

$\boxed{\large{\tt{\longmapsto{\red{x = 105°}}}}}$

⠀

★ Finding Y

$\large{\tt{\longmapsto{y = 180° - \triangle ABC}}}$

⠀

$\large{\tt{\longmapsto{y = 180° - 75°}}}$

⠀

$\boxed{\large{\tt{\longmapsto{\red{y = 105°}}}}}$

⠀

Hence,

Value of x = 105°

Value of y = 105°

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