pls solve it fastly find it
Answers
We know that AB || CD and AC is a
transversal
From the figure we know that ZBAC and ZACD are alternate angles
So we get
ZBAC = <ACD = 60°
So we also get
ZBAC = ZGCH = 60°
From the figure we also know that ZDHF and ZCHG are vertically opposite angles
So we get
ZDHF = <CHG = 50°
We know that the sum of all the angles in triangle GCH is 180°.
So we can write it as
ZGCH + <CHG+ 2CGH = 180°
By substituting the values
60° +50° + LCGH = 180°
On further calculation
ZCGH = 180° -60° - 50°
By subtraction
ZCGH = 180° - 110°
ZCGH = 70°
From the figure we know that ZCGH and ZAGH form a linear pair of angles
So we get
ZCGH + ZAGH = 180°
By substituting the values
70° + LAGH = 180°
On further calculation
ZAGH = 180° - 70⁰
By subtraction
ZAGH = 110⁰
Therefore, <GCH = 60° and ZAGH =
110⁰.
hope it helps you
please mark me as brainliest
Answer:
We know that AB || CD and AC is a
transversal
From the figure we know that ZBAC and ZACD are alternate angles
So we get
ZBAC = <ACD = 60°
So we also get
ZBAC = ZGCH = 60°
From the figure we also know that ZDHF and ZCHG are vertically opposite angles
So we get
ZDHF = <CHG = 50°
We know that the sum of all the angles in triangle GCH is 180°.
So we can write it as
ZGCH + <CHG+ 2CGH = 180°
By substituting the values
60° +50° + LCGH = 180°
On further calculation
ZCGH = 180° -60° - 50°
By subtraction
ZCGH = 180° - 110°
ZCGH = 70°
From the figure we know that ZCGH and ZAGH form a linear pair of angles
So we get
ZCGH + ZAGH = 180°
By substituting the values
70° + LAGH = 180°
On further calculation
ZAGH = 180° - 70⁰
By subtraction
ZAGH = 110⁰
Therefore, <GCH = 60° and ZAGH =
110⁰.
hope it helps you
please mark me as brainliest