Question

Дано:MNQP-ромб.угол NOQ=90°,угол QNO=43°.найти:угол N, угол P, угол Q, угол M

Answer 1

Ответ:

N = 43°

P = 43°

Q = 94°

Объяснение:

угол NQO = 180°-90°-43°=47°

угол N = QNO*2=43° * 2 = 86°

угол P = N = 86°

угол Q = 47*2 = 94°

Answer 2

Given Information:

We are given that MNQP is a rhombus and that angle NOQ is 90 degrees. Additionally, we are told that angle QNO is 43 degrees. We need to find the measures of angles N, P, Q, and M.

Solution:

To find the measures of the angles, we can use the properties of a rhombus.

1. Angle NOQ is given as 90 degrees. 2. Angle QNO is given as 43 degrees.

Since opposite angles in a rhombus are equal, we can conclude that angle ONQ is also 43 degrees.

Now, let's find the measures of angles N, P, Q, and M.

1. Angle N: In a rhombus, opposite angles are equal. Therefore, angle N is equal to angle QNO, which is 43 degrees.

2. Angle P: In a rhombus, opposite angles are equal. Therefore, angle P is equal to angle NOQ, which is 90 degrees.

3. Angle Q: We already know that angle QNO is 43 degrees. Since the sum of the angles in a triangle is 180 degrees, we can find angle Q by subtracting the sum of angles QNO and ONQ from 180 degrees. - Angle Q = 180 degrees - (angle QNO + angle ONQ) - Angle Q = 180 degrees - (43 degrees + 43 degrees) - Angle Q = 180 degrees - 86 degrees - Angle Q = 94 degrees.

4. Angle M: In a rhombus, opposite angles are equal. Therefore, angle M is equal to angle NOQ, which is 90 degrees.

Summary:

Using the given information and the properties of a rhombus, we have determined the measures of the angles in the MNQP rhombus: - Angle N = 43 degrees - Angle P = 90 degrees - Angle Q = 94 degrees - Angle M = 90 degrees.

Please let me know if you need any further clarification or assistance!