Question

the same of two angles is 5 and their different is 60°the angles in degrees are​

Answer 1

Correct Question :-

The sum of two angles is $\rm{5\pi ^{c} }$ and their difference is 60° then find the angles in degrees.

Answer :-

• The degree measures of the two angles are 480° and 420°.

Step by step explanation :-

Given that,

The sum of two angles is $\rm{5\pi {}^{c} }$ and their difference is 60°.

We know that,

$\rm:\implies{1 {}^{c} = \bigg( \frac{180}{\pi} \bigg) ^{ \circ} }$

$\therefore \rm{5\pi {}^{c} = \bigg(5\pi \times \frac{180}{\pi} \bigg)^{c} = 900 \degree}$

Let the measures of the angles be x and y.

Then,

$\rm:\longmapsto{x + y = 900 \degree - - - - (1)} \\ \\ \rm:\longmapsto{x - y = 60 \degree} \: \: - - - - (2)$

Adding equation (1) and (2)

$\rm:\longmapsto{ x + y + (x - y) = 960 \degree + 60 \degree} \\ \\\rm:\longmapsto{x + x + y - y = 960 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \rm:\longmapsto{2x = 960 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\\rm:\longmapsto{x = \frac{960 \degree}{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bf:\longmapsto \red{x = 480 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Substitute x = 480° in equation (1)

$\rm:\longmapsto{480 \degree + y = 960 \degree} \\ \\ \rm:\longmapsto{y = 960 \degree - 480 \degree} \\ \\ \bf:\longmapsto \red{y = 420 \degree} \: \: \: \: \: \: \: \: \: \: \:$

Therefore,

• x = 480°
• y = 420°

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Learn more from brainly :

Two vector of equal magnitude 5 unit have an angle 60 degree between them. Find the magnitude of the sum of the vector and the difference of the vector.

https://brainly.in/question/11661670

Answer 2

X 480

y 420

its write answer

$hope \: its \: help \: you$