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1 year ago

Please help me geometry

Mathematics

1 answer:

Semenov [28]1 year ago

3 0

<h2>Answer :</h2>

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

<h2>Step-by-step explanation :</h2>

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

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

<u>Substitute</u> :

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

$\sf{x = 1}$

<u>Calculate 50x + 40x = 90°</u> ↑

$\sf{\angle{BAC} = 40}$

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

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

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