Question

which equations will help you find the measure of angle x

x 46

Answer 1

I don’t have the diagram, so I can’t pick one equation with certainty. Here are the common angle relations that might apply — pick the one that matches your picture, or paste/describe the diagram and I’ll pick the right one:

- Vertical angles: if x and 46° are vertical (opposite) angles,
equation: x = 46.

- Linear pair (on a straight line / supplementary): if x and 46° form a straight line,
equation: x + 46 = 180 → x = 134°.

- Complementary (sum to 90°): if x and 46° add to a right angle,
equation: x + 46 = 90 → x = 44°.

- Triangle interior angles: if x and 46° are two angles of a triangle and the third angle is y,
equation: x + 46 + y = 180 (solve once y is known).

- Isosceles triangle: if two angles are equal (for example x = 46 if those are the equal base angles, or if x is one of two equal angles and the other is 46, then x = 46).

- Exterior angle of a triangle: if 46° is an exterior angle equal to the sum of the two remote interior angles,
equation: 46 = x + (other interior angle) → x = 46 − (other).

- Parallel lines cut by a transversal:
- alternate interior or corresponding: x = 46,
- consecutive interior (same side): x + 46 = 180.

- Circle/arc relations:
- inscribed angle subtending a 46° arc: x = 46/2 = 23,
- central angle equal to arc: x = 46.

If you can upload or describe the figure (how the angles are positioned, any lines marked parallel, triangle, circle, etc.), I’ll give the exact equation and solve for x.