Answer:
ST = 12 units
Step-by-step explanation:
Δ RAS and Δ TES are similar triangles, thus the ratios of corresponding sides are equal, that is, noting that SR = 21 - ST, thus
=
substitute values
=
( cross- multiply )
6ST = 8(21 - ST)
6ST = 168 - 8ST ( add 8ST to both sides )
14ST = 168 ( divide both sides by 14 )
ST = 12
Answer:

Step-by-step explanation:

Hope this helps!
Lines equal 180°. The line with angles 5 and 7 equals 180°. If angle 7 equals 61°, then angle 5 equals 119° (180° - 61°= 119°).
Angles 5 and 8 are opposite vertical angles, which are always congruent (equal), so angles 5 and 8 both equal 119°.
119° (angle 5) + 119° (angle 8)= 238°
ANSWER: The two angles total 238° (bottom choice).
Hope this helps! :)