In the given diagram, we have angle SRT congruent to angle STR, so they must both be equal to 20 degrees.
We also have angle STU equal to 4x degrees.
Since the sum of angles in a triangle is always 180 degrees, we can set up the following equation:
20 + 20 + 4x = 180
Simplifying, we get:
40 + 4x = 180
Subtracting 40 from both sides, we get:
4x = 140
Dividing both sides by 4, we get:
x = 35
Therefore, the value of x is 35.
Find the value of x. The diagram is not to scale.
Given: angle upper S upper R upper T congruent to angle upper S upper T upper R, mangleSRT = 20, mangleSTU = 4x
Triangle upper R upper S upper T is shown with upper R in the lower left corner moving clockwise around to the other vertices. Segment upper R upper T is horizontal. Point upper U is drawn to the right of point upper T so that ray upper R upper U is formed and drawn.
1 answer
1 answer