+38 △RST is similar to triangle △XYZ by theAA Similarity Postulate .
What is the measure of ∠X?
The measure of the letter "X" is 3/17 In or .3 (3/10 cm) in lenth 4/17 In or .4 cm (4/10cm) highth Your welcome
+2446 | Statements | Reasons |
| ∠RST≅∠XYZ | Corresponding angles in similar triangles are congruent |
| m∠RST=m∠XYZ | Congruent angles have the same measure, by definition. |
| 23∘=m∠XYZ | Substitution property of equality OR Transitive property of equality. |
| m∠XYZ+m∠YZX+m∠ZXY=180∘ | Triangle sum therom (The sum of the interior angles of triangle is 180) |
| 23∘+47∘+m∠ZXY=180∘ | Substitution property of equality |
| 70∘+m∠ZXY=180∘ | Simplify |
| m∠ZXY=110∘ | Subtraction property of equality |
Thus, m∠X=110∘
