Question

Please help me geometry

Answer 1

`\large \bf \implies \angle{BAC} = 40 \degree`

Step-by-step explanation :

`\bf \implies \angle{ABC} + \angle{BAC} = 90\degree` [The acute angles of a right triangle are complementary]

`\bf \implies 50x + 40x = 90\degree`

Substitute :

`\angle{BAC} = 40x \: \: , \: \: \angle{ABC} = 50x \: into \: \angle{ABC} + \angle{BAC} = 90\degree`

• 
  `\sf{x = 1}`

Calculate 50x + 40x = 90° ↑

• 
  `\sf{\angle{BAC} = 40}`

Substitute x = 1 into
`\bf{\angle{BAC} = 40x}` ↑

`\boxed{ \bold{\angle{BAC} = 40} }\: \mathfrak{ans.}`