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bija089 [108]
3 years ago
5

A diagonal of a parallelogram forms 25° and 35° angles with sides of parallelogram. Find the angles of the parallelogram.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
3 0

so,

angle DAB = 25° + 35°

= 60°

now,

angle DAB + angle ADC. = 180°

or, 60° + ADC = 180°

or, ADC = 180° - 60°

Therefore, ADC = 120°

therefore, the angles of the PARALLELOGRAM are 60° and 120°.

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Answer:

\boxed{\sf d. \ \frac{a}{b}  =  \frac{10}{7}}

Step-by-step explanation:

\sf \implies \dfrac{a - b}{b}  =  \dfrac{3}{7}  \\  \\  \sf \implies  \frac{a}{b}  -  \frac{b}{b}  =  \frac{3}{7}  \\  \\  \sf \implies  \frac{a}{b}  - 1 =  \frac{3}{7}  \\  \\  \sf \implies  \frac{a}{b}  - 1 + 1 =  \frac{3}{7}  + 1 \\  \\  \sf \implies  \frac{a}{b}  =  \frac{3}{7}  + 1 \\  \\  \sf \implies  \frac{a}{b}  =  \frac{3}{7}  +  \frac{7}{7}  \\  \\  \sf \implies  \frac{a}{b}  =  \frac{3 + 7}{7}  \\  \\  \sf \implies  \frac{a}{b}  =  \frac{10}{7}

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