Question

Please help me geometry

Answer 1

Answer :

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

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 $\bf{\angle{BAC} = 40x}$ ↑

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