Question

find the value of a

Question ⁉️
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Answer 1

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\tt Find \:the \:value \:of \:a$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf {\boxed {\mathbb {GIVEN}}}$

• $\sf \bf \angle BGH=2a$
• $\sf \bf \angle DHG=3a$

$\sf \bf {\boxed {\mathbb {TO\:FIND}}}$

• $\sf \bf Value \:of \:a$

$\sf \bf {\boxed {\mathbb {SOLUTION}}}$

${\pink {\underline {\bf {\pmb {Value \:of \:a}}}}}$

$\bf \angle BGH+\angle DHG ={180}^{\circ}\longrightarrow \Big(Consecutive\:interior\:angles\Big)$

${\underbrace {\overbrace {\orange {\pmb {Substitute \:the\:values}}}}}$

$\bf \implies 2a+3a={180}^{\circ}$

$\bf \implies 5a={180}^{\circ}$

$\bf \implies a=\dfrac{180}{5}$

$\implies {\blue {\boxed {\boxed {\purple {\mathfrak {a={36}^{\circ}}}}}}}$

${\underbrace {\red {\underline {\red {\overline {\red {\sf {\pmb {{\therefore}The\:value \:of \:a\:is\:{36}^{\circ}}}}}}}}}}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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$\sf \bf \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

${\green {\sf Types \:of \:pairs\:of \:angles}}$

$\sf Complementary\:angles$

$\sf Supplementary\: angles$

$\sf Alternate Interior \:Angles$

$\sf Consecutive \:Interior\: Angles$

$\sf Adjacent \:angles$