Question

How to do this questions

Answer 1

Answer:

1-- F=74°

Step-by-step explanation:

53°+53°+F=180°

106°+F=180°

F=180°-106°

Answer 2

1st question :-

Answer :-

Required to find :-

• Find the value of ∠EFD

Solution :-

Given :-

∠DEF = 53°

we need to find the measurement of the ∠DEF

So,

From the figure we can conclude that ;

Side DF = Side EF

So,

If corresponding sides are equal corresponding angles are also equal

Hence,

The corresponding angle of side EF is ∠DEF

Similarly,

The corresponding angle of side DF is ∠FDE

( Actually the corresponding angles mean that they are angles adjacent to the side )

Hence,

∠DEF = ∠FDE

But,

∠DEF = 53°

Hence,

∠FDE = 53°

Using sum angle property ;

∠FDE + ∠EFD + ∠FED = 180°

53° + ∠EFD + 53° = 180°

106° + ∠EFD = 180°

∠EFD = 180° - 106°

∠EFD = 74°

$\rule{400}{2}$

2nd question :-

Answer :-

Required to find :-:

• Value of ∠ABC

Solution :-

Given :-

∠BAC = 36°

we need to find the measurement of ∠ABC

So,

From the figure we can conclude that ;

Side AB = Side AC

If corresponding sides are equal corresponding angles are equal

So,

∠ABC = ACB

However,

Let;

∠ABC = ∠ACB = x°

In ∆ ABC ,

∠BAC + ∠ABC + ∠ACB = 180°

36° + x° + x° = 180°

36° + 2x° = 180°

2x° = 180° - 36°

2x° = 144°

x° = 144/2

x° = 72

Therefore,

• ∠ABC = x° = (72)° = 72°