Question

name: ______ angle relationship pra directions: 1) identify the relationships in the diagram; 2) 1.
(x + 15)°
50°
angle relationship: ______
∘ equal
=
∘ complementary
+
= 90
∘ supplementary
+
= 180
equation:
2.
angle re
∘ equal
∘ comple
∘ suppler
equation:

Explanation:

Step1: Identify angle relationship

The two angles \((x + 15)^\circ\) and \(50^\circ\) seem to add up to a right angle (since the diagram likely shows a right angle, as complementary angles sum to \(90^\circ\)). So the relationship is complementary, meaning \((x + 15)+50 = 90\).

Step2: Solve for \(x\)

Start with the equation \((x + 15)+50 = 90\).
First, simplify the left - hand side: \(x+15 + 50=x + 65\).
So the equation becomes \(x+65 = 90\).
Subtract 65 from both sides: \(x=90 - 65\).
Calculate \(90-65 = 25\).

Answer:

The angle relationship is Complementary. The equation is \((x + 15)+50=90\) and \(x = 25\).