ANGLES ON A STRAIGHT LİNE TEST-1

YKS Geometry subjects, angles in straight test-1 and their solutions…

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Question 1-) In the figure, A, B, C points are linear, m (EBA); All 1/3 of m (CBD) if m (CBD) = m (DBE) + 10 °; How many degrees is m (DBE)?

Question 2-) [FG parallel [BA, [FE] parallel [CD], if m (DCB) = 130 °, m (ABC) = 4x-10 °, m (EFG) = 3x; How many degrees is x?

Question 3-) If FK parallel [CR, [CP parallel [DA], [AE] and [CE] bisector, 3m (RCE) = 2m (DAE); How many degrees is m (EBA) = x?

Question 4-) [BA parallel [EF parallel HG, if m (ABC) = m (EDC), m (DEF) = 100 °; How many degrees is m (DCB) = x?

Question 5-) [BE parallel if [CF, m (ABE) = 150 °, m (BAD) = 60 °, m (ADC) = 50 °; How many degrees is m (FCD) = x?

Question 6-) [AF parallel [DE, [AC] perpendicular [BD], [AC] bisector, if m (BDE) = 145 °; How many degrees is m (DBA) = x?

Question 7-) If FE parallel [CD, m (GAE) = 5y-5 °, m (DCB) = 3y + 5 °, m (GBC) = 60 °; How many degrees is m (FAB) = x?

Question 😎 [BA parallel [FD, [KP parallel [BE, m (EBA) = 120º, if m (FKP) = 105º; How many degrees is m (CFK) = x?

ANGLES IN A STRAİGHT LİNE -TEST-1 SOLUTIONS

Solution: Test with direct angles solution for beginners

Solution: Let the line segment that we will draw from point C are parallel to the lines given in the question. The desired angle measurement is obtained from the equation of parallel angles m (DCK) = 3x, internal opposite angles m (KCB) = 4x-10 °, from here 3x + 4x-10 ° = 130 °. Will be 20 °.

Solution: The most practical solution to this question of the angles in the line test would be to see the parallel angles of the road sides or the opposite parallel angles.

Solution: With the inside angles and the m rule, the desired angle x has a dimension of 100 °.

Solution: If we intersect the extension [AB] and [CD] at one point, we find the angle x with the rule m since the third angle of the triangle is also known.

Solution: The bisectors of the opposite state angles form a right angle. We can immediately write x on the angle between the parallel we have drawn [BK].

Solution: If we add the angles between parallel lines and equate them to 360 ° (pencil point rule), then y = 30 °, from the right angle x = 35 °.

Solution: Write m (ECF) = 120 ° from directional angles, 120 ° + 360 ° -x + 105 ° = 360 ° from pencil rule, measure of angle x is 225 °.