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Determine the measure of each of the e...

Determine the measure of each of the equal angles of a right-angled isosceles triangle.

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Consider right-angled isosceles on triangle ABC such that.
`/_a=90^@ \and\ AB=AC`
Since, `AB=AC,/_c=/_b......(1)`
Angles opposite sides are equal
Now sum of angles in triangle`=180^@`
`/_A+/_B+/_C=180^@`
`90^@+/_B+/_B=180^@`
`2/_B=90^@,/_B=45^@`
`/_C=45^@`
Hence, the measure of each of equal right-angled isosceles triangle is`45^@`.
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