Question

let AB be perpendicular to line segment PQ. let AB and PQ intersect in the point X. What is the measure of angle AXQ.

please answer with explanation​

Answer 1

Answer in this pic .......

Answer 2

✪ Question ✪

Let AB be perpendicular to line segment PQ. let AB and PQ intersect in the point X. What is the measure of ∠AXQ ?

✪ Given ✪

• AB is perpendicular to line segment PQ.
• AB and PQ intersect in the point X.

✪ To find ✪

The measure of ∠AQX.

✪ Solution ✪

We know that two perpendicular lines intersect each other at right angles, that means they intersect at 90°.

In the figure, AB is perpendicular to PQ and AB intersects PQ at X.

All the angles formed by the intersection (i.e., ∠AXP, ∠AXQ, ∠BXP and ∠BXQ) are right angles and measure 90°.

So, ∠AXQ = 90°

✪ Hence ✪

∠AXQ = 90°

✪ Therefore ✪

The measure of ∠AXQ is 90°.

๑ Hope this helps you. ๑