Please help me with this question.
If three angles of a quadrilateral are 70°, 85° and 120° respectively, the measure of the
fourth angle is_.
(b) If three angles of a quadrilateral are 50°, 70° and 100° respectively, the measure of the
fourth angle is_.
(c) If two angles of a quadrilateral are 800 and 110° respectively, the sum of the remaining
angles is_.
(d) If two angles of a quadrilateral are 65° each, and the other two angles are equal to each
other, the measure of each of the two angles is_.
Answers
Answer:
a) the measure of fourth angle
= 70⁰+85⁰+120⁰+angle 4= 360⁰
=360⁰- 70⁰+85⁰+120⁰
= 360⁰- 295⁰
= 65⁰
b) the measure of fourth angle
= 360⁰- 50⁰+70⁰+100⁰
= 360⁰- 220⁰
= 140⁰
c) the sum of remaining angles
= 360⁰- 80⁰+100⁰
= 360⁰-180⁰
= 180⁰
d) the measure of each of the two angles is
= 360⁰- 65⁰+65⁰
= 360⁰- 130⁰
= 230⁰
= 230⁰/2
= 115⁰
Answer:
( a) 80°
(b) 140°
(c) -550°
(d) 115°
Step-by-step explanation:
(a) Sum of angels of quadrilateral is 360°.
Now, let the fourth angle be X.
= X + 70° + 85° + 120° = 360°
= X = 80°
(b) Sum of angels of quadrilateral is 360°
Now, let the fourth angel be X.
= X + 50° + 70° + 100° = 360°
= X = 140°
(c) Sum of angels of quadrilateral is 360°.
thus,
800°+ 110°+ C+D =360°
C+D = 360° - 910
C+D = -550°
(d) Sum of angels of quadrilateral is 360°.
let, each angel be X.
65° + 65° + x° + x° = 360°
2x° = 360° – 130°
x° = 230°/2
x° = 115°.