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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Lynna [10]

Answer:

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

Step-by-step explanation:

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