Question

If m∠HEB=(9x)°
and m∠CEH=(19x+6)°,
then the value of x
is , (blank degrees). and m∠HEB=
, (blank degrees)
Trying to find the degrees here that is why they say blank, someone please help me.

Answer 1

Answer:

i need help

Step-by-step explanation:

Answer 2

The value of x = 3°

Measure of ∠HEB = 27°

Measure of ∠CEH = 63°  

Given:

Measure of ∠HEB = (9x)° and measure of ∠CEH = (19x+6)°  

To find:

The value of x and measure of ∠HEB  

Solution:

Given Measure of ∠HEB = (9x)°

And measure of ∠CEH = (19x+6)°  

Consider ∠HEB and ∠CEH as complementary angles

As we know Sum of complementary angles is 90°

⇒ (9x)°+ (19x+6)° = 90°

⇒ 28x° + 6° = 90°

⇒ 28x = 84°

⇒ x = 3°

Measure of ∠HEB = (9(3))° = 27°

Measure of ∠CEH = (19(3)+6)° = 63°

Therefore,

The value of x = 3°

Measure of ∠HEB = 27°

Measure of ∠CEH = 63°  

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