2 adjacent angles of a parallelogram are (2x+45°) and (4x-15°) . What is the value of x?

Mathematics

2 answers:

Yuliya22 [10]2 years ago

6 0

Value of x is 25°

Step-by-step explanation:

Step 1: Adjacent angles of a parallelogram are supplementary. Therefore their sum is equal to 180°

⇒ (2x + 45°) + (4x - 15°) = 180°

⇒ 6x + 30° = 180°

⇒ 6x = 150°

⇒ x = 25°

azamat2 years ago

5 0

Step-by-step explanation:

Adjacent angles of a parallelogram are Supplementary.

$\therefore \: (2x + 45 \degree) + (4x - 15 \degree) = 180 \degree \\ \\ \therefore \: 6x + 30 \degree = 180 \degree \\ \\ \therefore \: 6x = 180 \degree - 30 \degree \\ \\ \therefore \: 6x = 150 \degree \\ \\ \therefore \: x = \frac{150 \degree }{6} \\ \\ \huge \red{ \boxed{\therefore \: x = 25 \degree }}$

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6) the circular base of a hemisphere of radius 2 rests on the base of a square pyramid of height 6. the hemisphere is tangent to

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Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.

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