Question

*The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. The values of x and y are ……………..*

1️⃣ 45°, 75°
2️⃣ 50°, 80°
3️⃣ 85°, 55°
4️⃣ 55°, 95°

ʟᴏ ᴘᴏɪɴᴛꜱ​​

Answer 1

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$\huge\mathfrak\purple{Question❓}$

The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. The values of x and y are

• 45°, 75°

• 50°, 80°

• 85°, 55°

• 55°, 95°

$\huge\mathfrak\purple{Answer \: ✔}$

c} 85°,55°

$\huge\mathfrak\purple{Step \: By \: Step }$

$Given, x,y \: and \: 40 \: are \\ \: the \: angles \: of \: a \: triangle.$

$Therefore, \: x+y+40=180$

$x+y=140$

Then ⬇

$The \: difference \: between \: \\ the \: two \: angle \\ \: x \: and \: y \: is \: 30.$

$Therefore, x−y=30 ....(2)$

$Add \: equations (1) and (2), \\ we \: get$

$2x=170$

$⇒x=85$

Then ⬇

$Substitute \: this \: value \\ \: n \: equation (2), we \: get$

$85−y=30$

$⇒y=85−30$

$⇒y=55$

$Therefore, angles \: of \: a \\ triangle \: are \: \\ x=85, y=55 \: and \: 40$

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$\huge\mathfrak\red{Thank \: you \: :)}$

Answer 2

Answer:

• 3 is the answer

Step-by-step explanation:

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