Question

measure of acute angle of right angle triangle are y and 2y then what are there measure​

Answer 1

⇝Given :

• The measure of two acute angles of a right angled triangle are y and 2y.

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⇝To Find :

• Find the measure of these two angles.

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⇝Solution :

❒Remember that :

The sum of the angles of a right angled triangle is 180°.

In right angled triangle 1 angle is 90°.

❒Than,

${\leadsto{\sf{Y + Y2 + 90° = 180°}}}$

${\leadsto{\sf{Y3 + 90° = 180°}}}$

${\leadsto{\sf{Y3 = 180° - 90°}}}$

${\leadsto{\sf{Y3 = 90°}}}$

${\leadsto{\sf{Y = {\cancel\frac{90}{3} }}}}$

${\large{\purple{:{\mapsto{\underline{\boxed{30°}}}}}}}$

❒So,

${\red{\twoheadrightarrow{\bf{1st \: angle = Y = 30°}}}}$

${\red{\twoheadrightarrow{\bf{2nd \: angle = 2Y = 2 \times 30° =60° }}}}$

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Answer 2

Solution :-

We know that :-

Acute Angle » Angle whose measure is less than 90° is called Acute angle.

Right Angle » Angle whose measure is exactly 90 ° is Right Angle.

We know that sum of angles of a ∆ is always 180°.

According to question :-

→ Angle A + Angle B + Angle C= 180°

→ y + 2y + Right Angle = 180°

→ 3y + 90° = 180°

→ 3y = (180 - 90)°

→ 3y = 90°

→ y = $\frac{90}{3}$

→ y = $\cancel \frac{90}{3}$ = 30°

→ Angle A = y = 30°

→ Angle B = 2y = (2 × 30)° = 60°

Hope it will help you.