Question

Fassst pls...............

Answer 1

Answer:

please mark my answer as brainliest

Answer 2

$\huge{\underline{\tt{\red{Question 1}}}}$

First method

Let the ratio be 2x and 3x

Given

∠a = 2x

∠b = 3x

∠c = ?

To find

⟶ 90⁰ + ∠a + ∠b = 180⁰. ( Linear pair)

⟶ 90⁰ + 2x + 3x = 180⁰

⟶ 90⁰ + 5x = 180⁰

⟶ 5x = 90⁰

⟶ x = $\dfrac{90}{5}$

⟶ x = $\small{\underline{\tt{\purple{18⁰}}}}$

⭐ ∠a = 2 × 18 = 36⁰

⭐ ∠a = 2 × 18 = 36⁰⭐ ∠b = 3 × 18 = 54⁰

⟶. ∠a + ∠b + ∠c = 180⁰ ( linear pair )

⟶. 36⁰ + 54⁰+ ∠c = 180⁰

⟶. 90⁰ + ∠c = 180⁰

⟶. ∠c = $\small{\underline{\tt{\orange{90⁰}}}}$

Hope it helps

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Second method

∠c = 90⁰ ( vertically opposite angle)

_____________________

$\huge{\underline{\tt{\red{Question 2}}}}$

Given

∠1 = ∠2

To find

∠3 = ?

∠4 = ?

Solution

⟶ ∠1 + ∠2 + 58⁰ = 180⁰. ( angle sum property)

⟶ ∠1 + ∠1 + 58⁰ = 180⁰

⟶ 2∠1 = 180⁰- 58⁰

⟶ ∠1 = $\small{\underline{\tt{\green{61⁰}}}}$

⭐ ∠1 = ∠2 = 61⁰

⟶ ∠1 + ∠3 = 180⁰

⟶ 61⁰ + ∠3 = 180⁰

⭐∠3 = $\small{\underline{\tt{\blue{119⁰}}}}$

⭐∠4 = $\small{\underline{\tt{\blue{119⁰}}}}$

Hope it helps