Question

two consecutive angles of a parellogram x+60 degree and 2x+30 degree. what special name you can give to this parellogram​

Answer 1

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$\huge\red{\underline{{\bf A }}}$$\huge\orange{\underline{{\bf n }}}$$\huge\green{\underline{{\bf s }}}$$\huge\blue{\underline{{\bf w }}}$$\huge\purple{\underline{{\bf e }}}$$\huge\pink{\underline{{\bf r}}}$

• We know that consecutive interior angles of a parallelogram are supplementary.

$\sf\red{∴(x + 60)° + (2x + 30)° = 180°}$

$\sf\red{⟹ \: 3x°+ 90° = 180°}$

$\sf\red{⟹ \: 3x° = 90°}$

$\sf\red{⟹ \: x° = 30°}$

• Thus, two consecutive angles are :-

$\sf\green{⟹ \: (30 + 60)°}$

$\sf\green{⟹ \: (2 \times 30 + 30)°}$

$\sf\green{i.e. \: 90° \: and \: 90°}$

• Hence , the special name of the given parallelogram is ractangle.

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Answer 2

Answer:

(x+60)(2x+30)

Step-by-step explanation:

(x+60)+(2x+30)=180

3x+90=180

3x=180-90

3x=90

x=90/3

x=30

(30+60)(2×30+30)

90

90