Answer:
x = 50
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon of n sides is
(n - 2)180
This polygon is a quadrilateral with 4 sides. n = 4
(n - 2)180 = (4 - 2)180 = 2(180) = 360
The sum of the measures of the interior angles of the quadrilateral is 360 degrees.
We have angles of 110 deg, 2x deg, x + 10 deg, and 90 deg. We add their measures and set teh sum equal to 360. Then we solve for x.
x + 10 + 2x + 110 + 90 = 360
3x + 210 = 360
3x = 150
x = 50
Answer:
n = 20
Step-by-step explanation:
hope this help you ! ;)))
Answer:
Therefore the area of the quadrilateral =35 cm²
Step-by-step explanation:
Given, the length of one of diagonal of quadrilateral is 10 cm and perpendicular drawn from the opposite vertices to this diagonal are the length of 2.8 cm and 4.2 cm.
A diagonal divided a quadrilateral into two triangle.
Therefore the area of the quadrilateral
= sum of the area of the triangles
cm² [ area of a triangle
]
=35 cm²