Question

measures of adjust angles of a parallelogram are (5× -7) and ( 4x + 25°) find the measures of these angles​

Answer 1

Answer:

83,97

hope u understand it.

Step-by-step explanation:

sum of adjacent angles=180

(5x-7)(4x+25)=180

9x+18=180

9x=162

x=18

first angle=5x-7=5(18)-7=83

second angle=4(18)+25=97

Answer 2

Hello,Here is your answer :)$\huge\green✓$

Given,

Adjacent Angles of a parallelogram are ( 5x - 7 )° & ( 4x + 25)°

To find ;

✿ The measure of these angles.

We know,

Sum of adjacent sides = 180°

A/Q,

⟹ (5x - 7 ) + ( 4x + 25 ) = 180°

⟹ 5x - 7 + 4x + 25 = 180°

⟹ 9x + 18 = 180°

⟹ 9x = 180 - 18°

⟹ 9x = 162°

⟹ x = $\large \frac{\cancel{162}^{\:\:18}}{\cancel{9}}$

$\red\therefore$ x = 18°

Now, As given,

( 5x - 7 ) = ( 5×18- 7 ) = ( 90 - 7 ) = 83°

( 4x + 25 ) = ( 4×18 + 25 ) = ( 72 + 25 ) = 97°

Hence,

The measures of angles are 83° & 97°.

Checking - $\red✓$

➝ 83° + 97 ° [ Add both ]

➝ 180°

It means, the Solution is correct.

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