Question

find angle c ..............................​

Answer 1

${\huge\star{\mathfrak{\underline{\underline{Question:}}}}}$

Find angle C if other one angle of a right angled triangle is 45°.

${\huge\star{\mathfrak{\underline{\underline{Answer:}}}}}$

It is given that the the triangle is right angled at B. So Angle B = 90°

To find angle C we can simply use exterior angle theorem.

$\implies$ angle C = 45° + 90° = 135°

$\textbf{Second way :}$

Find the third angle of triangle by angle sum property of a triangle.

Angle BAE = 180 - ( 45+ 90 )

$\implies$ Angle BAE = 45°

Now, Angle BAE and angle CAD are liner pairs so their sum is 180°. And we know that angle BAE = 45°. So,

$\implies$ CAD = 180 - 45 = 135°

Answer 2

45 +90+X=180 ( angle sum property)
135+ X=180
X=180-135
X=45
c+x= 180. (linear pair)
c+45= 180
c= 180-45
c=135