Question

find the angles measure x,of the following figure 30°,70°,60°,X,​

Answer 1

Given: A geometric figure containing the following angles: 30°, 70°, 60° and x.

To find: The measure of x

Solution: First we need to find all the unknown angles inside the pentagon except x.

As such, the supplementary angle of 60° = (180 - 60)° = 120°.

The supplementary angle of 70° = (180 - 70)° = 110°.

We know that the total sum of all the angles of a pentagon is 540°.

Therefore according to the given figure,

30° + x + x + 120° + 110° = 540°

⇒ 2x + 260° = 540°

⇒ 2x = 540° - 260°

⇒ 2x = 280°

⇒ x = 140°

Hence, the measure of x in the given figure is 140°.

Answer 2

Answer:

Step-by-step explanation: