Answer:
Step-by-step explanation:
From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares 
, the remaining unknown angles are equal (
). The sum of the interior angles of a triangle always add up to 
.
Therefore:
.
Answer:
The value of x will be 2.5
LY will be 9 while KH will be 7.5
Step-by-step explanation:
Hope This Helped
Answer:
see explanation
Step-by-step explanation:
The opposite angles of an inscribed quadrilateral are supplementary, thus
5x + 20 + 7x - 8 = 180
12x + 12 = 180 ( subtract 12 from both sides )
12x = 168 ( divide both sides by 12 )
x = 14
Thus
∠ RQP = 10x = 10(14) = 140°
∠PSR = 180° - 140° = 40° ( opposite angles are supplementary )
∠ SRQ = 7X - 8 = 7(14) - 8 = 98 - 8 = 90°
∠ QPS = 5x + 20 = 5(14) + 20 = 70 + 20 = 90°
Answer:
u = 4; v = 18
because this is a parallelogram
=> 2u + 2 = 5u - 10
6 = v/3
<=> 3u = 12
v = 6.3
<=> u = 4
v = 18
