This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Welcome back — missed you this week. Here are the answers to the questions you've provided: a) Define acute angle An acute angle is an angle that measures greater than 0^ but less than 90^. b) Write the name of the angle formed in the straight line. The angle formed by a straight line is called a straight angle. Its measure is 180^. c) What is the straight line? A straight line is a one-dimensional figure that extends infinitely in both directions, has no thickness, and no curvature. d) Find the value of x. Step 1: Identify the relationship between the angles. The angles x^ and 120^ are adjacent angles on a straight line AB. Angles on a straight line sum to 180^. Step 2: Set up the equation. x^ + 120^ = 180^ Step 3: Solve for x. x^ = 180^ - 120^ x^ = 60^ The value of x is 60. e) Construct the following angle by using compass and pencil: *a) 90^ *b) 30^ a) Construction of 90^ angle: 1. Draw a ray OA. 2. With O as the center and a convenient radius, draw an arc that cuts OA at P. 3. With P as the center and the same radius, draw an arc that cuts the first arc at Q. 4. With Q as the center and the same radius, draw an arc that cuts the first arc at R. 5. With Q and R as centers and a radius greater than half of QR, draw two arcs that intersect each other at S. 6. Join OS. Angle AOS is 90^. b) Construction of 30^ angle: 1. Draw a ray OA. 2. With O as the center and a convenient radius, draw an arc that cuts OA at P. 3. With P as the center and the same radius, draw an arc that cuts the first arc at Q. This creates a 60^ angle (angle AOQ). 4. With P and Q as centers and a radius greater than half of PQ, draw two arcs that intersect each other at R. 5. Join OR. Angle AOR is 30^. Send me the next one 📸