Question

quadrilateral has three acute angles and each is 80°, then the fourth angle​

Answer 1

Answer:

The fourth angle is 120°

Step-by-step explanation:

Given :

A quadrilateral has three acute angles.

Each is 80°

• 1 st angle = 80°
• 2 nd angle = 80°
• 3 rd angle = 80°

To find :

The fourth angle

Solution :

Let,

The fourth angle = x

Sum of all angles in quadrilateral = 360°

So,

1 st angle + 2 nd angle + 3 rd angle + x = 360

$\longrightarrow$ 80 + 80 + 80 + x = 360

$\longrightarrow$ 240 + x = 360

$\longrightarrow$ x = 360 - 240

$\longrightarrow$ x = 120

The fourth angle = 120°

∴ The fourth angle is 120°

Answer 2

$\large \underline \bold \pink{GIVEN :-}$

★ A QUADRILATERAL HAS THREE ACUTE ANGLES .

☯ EACH IS OF 80°

★ 1ST ANGLE = 80°

★ 2ND ANGLE = 80°

★ 3RD ANGLE = 80°

$\large \underline \bold \pink{TO \: \: FIND :-}$

★ THE FOURTH ANGLE

$\large \underline \bold \pink{SOLUTION :-}$

✴ LET'S THE FOURTH ANGLE BE = T

✴ SUM OF ALL ANGLES IN QUADRILATERAL = 360°

$\large \underline \bold \pink{SO :-}$

→ 1ST ANGLE + 2ND ANGLE + 3RD ANGLE + T = 360

$\bold\hookrightarrow \bold{80 + 80 + 80 + t = 360}$

$\bold\hookrightarrow \bold{240 + t = 360}$

$\bold\hookrightarrow \bold{t = 360 - 240}$

$\hookrightarrow \fbox \pink{{t = 120}}$

♠ HENCE THE FOURTH ANGLE IS OF 120°