Question

3: Find the value of X

4: Find the measure of angle JML

Answer 1

Explanation:

3.

the sum of all internal angles in a quadrilateral is always 360°.

so, the internal angle at x is given by

360 = 40 + 80 + 110 + inner angle

inner angle = 360 - 40 - 80 - 110 = 130°

an inner and an outer angle combined are together always 180°.

so,

130 + x = 180

x = 50°

4.

first, again, the sum of all inner angles is 360°.

this is a parallelogram. that means the diagonally opposing angles are equal.

so, the angle opposite of the 38° angle is also 38°.

that leaves

360 - 38 - 38 = 284°

for the 2 (again equal) remaining angles :

284 = 2 × angle

each of these remaining angles is then

284/2 = 142°

the angle JML is one of them.

so,

angle JML = 142°